Bi-Directional Grid Constrained Stochastic Processes' Link to Multi-Skew Brownian Motion

Article

Taranto, Aldo, Addie, Ron and Khan, Shahjahan. 2022. "Bi-Directional Grid Constrained Stochastic Processes' Link to Multi-Skew Brownian Motion." Journal of Applied Probability and Statistics. 17 (1), pp. 101-133.
Article Title

Bi-Directional Grid Constrained Stochastic Processes' Link to Multi-Skew Brownian Motion

ERA Journal ID41643
Article CategoryArticle
AuthorsTaranto, Aldo (Author), Addie, Ron (Author) and Khan, Shahjahan (Author)
Journal TitleJournal of Applied Probability and Statistics
Journal Citation17 (1), pp. 101-133
Number of Pages33
Year2022
PublisherIslamic Countries Society of Statistical Sciences (ISOSS)
Place of PublicationPakistan
ISSN1930-6792
Web Address (URL)http://japs.isoss.net/April22.htm
Abstract

Bi-directional grid constrained (BGC) stochastic processes (BGCSPs) are identified as a variant rather than a special case of the multi-skew Brownian motion (M-SBM). This is because they have their own complexities, such as the barriers being hidden (not known in advance) and not necessarily constant over time. We provide a M-SBM theoretical framework and also a simulation framework to elaborate deeper properties of BGCSPs. The simulation framework is then applied by generating numerous simulations of the constrained paths and the results are analysed. BGCSPs have applications in finance and indeed many other fields requiring graduated constraining, from both above and below the initial starting position.

KeywordsWiener Processes, Ito Processes, Reflecting Barriers, Stochastic Differential Equation (SDE), Stopping Times, First Passage Time (FPT), Multi-Skew Brownian Motion (M-SBM)
ANZSRC Field of Research 2020490510. Stochastic analysis and modelling
490503. Computational statistics
490506. Probability theory
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Byline AffiliationsSchool of Mathematics, Physics and Computing
Institution of OriginUniversity of Southern Queensland
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Saqr, Anwar and Khan, Shahjahan. 2012. "Slope estimator for the linear error-in-variables model." Ahmad, Munir (ed.) 12th Islamic Countries Conference on Statistical Sciences . Doha, Qatar 19 - 22 Dec 2012 Lahore, Pakistan.
Weighted reduced major axis method for regression model
Saqr, Anwar and Khan, Shahjahan. 2012. "Weighted reduced major axis method for regression model." Ahmad, Munir (ed.) 12th Islamic Countries Conference on Statistical Sciences . Doha, Qatar 19 - 22 Dec 2012 Lahore, Pakistan.
Growth of statistics enhanced by computer and internet
Khan, Shahjahan. 2013. "Growth of statistics enhanced by computer and internet." Khadem, Mohammad (ed.) 1st International Conference on Information, Operations Management and Statistics (ICIOMS 2013). Kuala Lumpur, Malaysia 01 - 03 Sep 2013 Sydney, Australia.
Cost modelling and validation in network optimization
Addie, Ronald G., Peng, Yu, Albdair, Mostfa, Xing, Chang, Fatseas, David and Zukerman, Moshe. 2015. "Cost modelling and validation in network optimization." 25th International Telecommunication Networks and Applications Conference (ITNAC 2015). Sydney, Australia 18 - 20 Nov 2015 United States. https://doi.org/10.1109/ATNAC.2015.7366782
Late postoperative complications in laparoscopic sleeve gastrectomy (LVSG) versus laparoscopic Roux-en-y gastric bypass (LRYGB): meta-analysis and systematic review
Osland, Emma, Yunus, Rossita M., Khan, Shahjahan, Memon, Breda and Memon, Muhammed A.. 2016. "Late postoperative complications in laparoscopic sleeve gastrectomy (LVSG) versus laparoscopic Roux-en-y gastric bypass (LRYGB): meta-analysis and systematic review." Surgical Laparoscopy, Endoscopy and Percutaneous Techniques. 26 (3), pp. 193-201. https://doi.org/10.1097/SLE.0000000000000279
Postoperative early major and minor complications in laparoscopic vertical sleeve gastrectomy (LVSG) versus laparoscopic Roux-en-Y gastric bypass (LRYGB) procedures: a meta-analysis and systematic review
Osland, Emma, Yunus, Rossita Mohamad, Khan, Shahjahan, Alodat, Tareq, Memon, Breda and Memon, Muhammed Ashraf. 2016. "Postoperative early major and minor complications in laparoscopic vertical sleeve gastrectomy (LVSG) versus laparoscopic Roux-en-Y gastric bypass (LRYGB) procedures: a meta-analysis and systematic review." Obesity Surgery. 26 (10), pp. 2273- 2284. https://doi.org/10.1007/s11695-016-2101-8
Meta-analysis of early endoscopic retrograde cholangiopancreatography (ERCP) ± endoscopic sphincterotomy (ES) versus conservative management for gallstone pancreatitis (GSP)
Burstow, Matthew J., Yunus, Rossita M., Hossain, Md Belal, Khan, Shahjahan, Memon, Breda and Memon, Muhammed A.. 2015. "Meta-analysis of early endoscopic retrograde cholangiopancreatography (ERCP) ± endoscopic sphincterotomy (ES) versus conservative management for gallstone pancreatitis (GSP)." Surgical Laparoscopy, Endoscopy and Percutaneous Techniques. 25 (3), pp. 185-203. https://doi.org/10.1097/SLE.0000000000000142
Laparoscopic vs open repair for incisional hernia
Awaiz, Aiman, Rahman, Foyzur, Hossain, Md Belal, Yunus, Rossita Mohamad, Khan, Shahjahan, Memon, Breda and Memon, Muhammad Ashraf. 2014. "Laparoscopic vs open repair for incisional hernia." Ahmed, Munir (ed.) 13th Islamic Countries Conference on Statistical Sciences . Bogor, Indonesia 18 - 21 Dec 2014 Lahore, Pakistan.
Testing the equality of two intercept for the parallel regression model
Pratikno, Budi and Khan, Shahjahan. 2014. "Testing the equality of two intercept for the parallel regression model." Ahmed, Munir and Khan, Shahjahan (ed.) 13th Islamic Countries Conference on Statistical Sciences . Bogor, Indonesia 18 - 21 Dec 2014 Lahore, Pakistan.
Bayesian prediction of matrix elliptical multivariate models with conjugate prior
Arashi, Mohamed and Khan, Shahjahan. 2012. "Bayesian prediction of matrix elliptical multivariate models with conjugate prior." Ahmed, Munir (ed.) 11th Islamic Countries Conference on Statistical Sciences. Lahore, Pakistan 19 - 22 Dec 2011 Lahore, Pakistan.
Statistical meta-analysis for ordinal categorical data
Hossain, Md. Belal and Khan, Shahjahan. 2012. "Statistical meta-analysis for ordinal categorical data." Ahmed, Munir (ed.) 11th Islamic Countries Conference on Statistical Sciences. Lahore, Pakistan 19 - 22 Dec 2011 Lahore, Pakistan.
Instrumental variable estimator of the slope parameter when the explanatory variable is subject to measurement error
Saqr, Anwar and Khan, Shahjahan. 2012. "Instrumental variable estimator of the slope parameter when the explanatory variable is subject to measurement error." Ahmed, Munir (ed.) 11th Islamic Countries Conference on Statistical Sciences. Lahore, Pakistan 19 - 22 Dec 2011 Lahore, Pakistan.
Meta-analysis of laparoscopic posterior and anterior fundoplication for gastro-oesophageal reflux disease
Subramanya, Manjunath S., Hossain, Md. Belal, Khan, Shahjahan, Memon, Breda and Memon, Muhammed Ashraf. 2010. "Meta-analysis of laparoscopic posterior and anterior fundoplication for gastro-oesophageal reflux disease." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.
Performance of preliminary test estimator under linex loss function
Hoque, Zahirul, Khan, Shahjahan and Wesolowski, Jacek. 2009. "Performance of preliminary test estimator under linex loss function." Communications in Statistics: Theory and Methods. 38 (2), pp. 252-261. https://doi.org/10.1080/03610920802192471
James-Stein estimators for the mean vector of a multivariate normal population based on independent samples from two normal populations with common covariance structure
Khan, Shahjahan and Hoque, Zahirul. 2002. "James-Stein estimators for the mean vector of a multivariate normal population based on independent samples from two normal populations with common covariance structure." Pakistan Journal of Statistics. 18 (3), pp. 359-381.
Shrinkage pre-test estimator of the intercept parameter for a regression model with multivariate student-t errors
Khan, Shahjahan and Saleh, A. K. Md. Ehsanes. 1997. "Shrinkage pre-test estimator of the intercept parameter for a regression model with multivariate student-t errors." Biometrical Journal: journal of mathematical methods in biosciences. 39 (2), pp. 131-147. https://doi.org/10.1002/bimj.4710390202
Estimation of the slope parameter for linear regression model with uncertain prior information
Khan, Shahjahan, Hoque, Zahirul and Saleh, A. K. Md. Ehsanes. 2002. "Estimation of the slope parameter for linear regression model with uncertain prior information." Journal of Statistical Research. 36, pp. 55- 73.
On the comparison of the pre-test and shrinkage estimators for the univariate normal mean
Khan, Shahjahan and Saleh, A. K. Md. E.. 2001. "On the comparison of the pre-test and shrinkage estimators for the univariate normal mean." Statistical Papers. 42 (4), pp. 451-473.
Estimating moments of a selected Pareto population under asymmetric scale invariant loss function
Al-Mosawi, Riyadh Rustom and Khan, Shahjahan. 2018. "Estimating moments of a selected Pareto population under asymmetric scale invariant loss function." Statistical Papers. 57, pp. 183-198. https://doi.org/10.1007/s00362-016-0758-7
Changes in non-diabetic comorbid disease status following Laparoscopic Vertical Sleeve Gastrectomy (LVSG) versus Laparoscopic Roux-En-Y Gastric Bypass (LRYGB) procedures: a systematic review of randomized controlled trials
Osland, Emma, Yunus, Rossita Mohamad, Khan, Shahjahan, Memon, Muhammed Ashraf and Memon, Breda. 2017. "Changes in non-diabetic comorbid disease status following Laparoscopic Vertical Sleeve Gastrectomy (LVSG) versus Laparoscopic Roux-En-Y Gastric Bypass (LRYGB) procedures: a systematic review of randomized controlled trials." Obesity Surgery. 27 (5), pp. 1208-12221. https://doi.org/10.1007/s11695-016-2469-5
Statistics on spotlight: reflections on World Statistics Day
Khan, Shahjahan. 2016. "Statistics on spotlight: reflections on World Statistics Day." Journal of Islamic Countries Society of Statistical Sciences. 2 (2), pp. 175-184.
Netml-ns3-click: Modeling of Routers in Netml/ns3 by means of the Click Modular Router
Addie, Ronald and Natarajan, Joshua. 2017. "Netml-ns3-click: Modeling of Routers in Netml/ns3 by means of the Click Modular Router." 8th EAI International Conference on Simulation Tools and Techniques (SIMUTOOLS 2015). Athens, Greece 24 - 26 Aug 2015 Belgium . Institute for Computer Sciences, Social Informatics and Telecommunications Engineering (ICST). https://doi.org/10.4108/eai.24-8-2015.2260965
Antraff traffic analysis software user manual, June 21, 2016
Addie, Ronald. 2016. Antraff traffic analysis software user manual, June 21, 2016. Toowoomba, Australia. University of Southern Queensland.
Protecting services from security mis-configuration
Hadaad, Nabeel, Drury, Luke and Addie, Ronald G.. 2015. "Protecting services from security mis-configuration." 25th International Telecommunication Networks and Applications Conference (ITNAC 2015). Sydney, Australia 18 - 20 Nov 2015 United States. https://doi.org/10.1109/ATNAC.2015.7366799
Performance evaluation of a queue fed by a Poisson Lomax Burst process
Chen, Jiongze, Addie, Ronald G., Zukerman, Moshe and Neame, Timothy D.. 2015. "Performance evaluation of a queue fed by a Poisson Lomax Burst process." IEEE Communications Letters. 19 (3), pp. 367-370. https://doi.org/10.1109/LCOMM.2014.2385083
The correlated bivariate noncentral F distribution and its application
Khan, Shahjahan, Pratikno, Budi, Ibrahim, Adriana I. N. and Yunus, Rossita M.. 2016. "The correlated bivariate noncentral F distribution and its application." Communications in Statistics: Simulation and Computation. 45 (10), pp. 3491-3507. https://doi.org/10.1080/03610918.2014.999085
Mathematical reflection approach to instrumental variable estimation method for simple regression model
Saqr, Anwar and Khan, Shahjahan. 2016. "Mathematical reflection approach to instrumental variable estimation method for simple regression model." Pakistan Journal of Statistics. 32 (1), pp. 37-48.
Evidence based decision and meta-analysis with applications in cancer research studies
Khan, Shahjahan, Doi, Suhail A. R. and Memon, M. Ashraf. 2016. "Evidence based decision and meta-analysis with applications in cancer research studies." Applied Mathematics and Information Sciences. 10 (3), pp. 1-8. https://doi.org/10.12785/amis/paper-SK_print
A direct analysis of flood interval probability using approximately 100-year stream flow datasets
Brodie, Ian M. and Khan, Shahjahan. 2016. "A direct analysis of flood interval probability using approximately 100-year stream flow datasets." Hydrological Sciences Journal. 61 (12), pp. 2213-2225. https://doi.org/10.1080/02626667.2015.1099790
Validation of multi-layer network optimization
Peng, Yu, Lin, Rongping, Li, Fan, Xing, Chang, Guo, Jun, Hu, Wenjie, Abramov, Vyacheslav, Addie, Ronald G. and Zukerman, Moshe. 2016. "Validation of multi-layer network optimization." 18th International Conference on Transparent Optical Networks (ICTON 2016). Trento, Italy 10 - 14 Jul 2016 IEEE (Institute of Electrical and Electronics Engineers). https://doi.org/10.1109/ICTON.2016.7550543
The Inference Graph of Cybersecurity Rules
Sheniar, Dawood, Hadaad, Nabeel and Addie Ron. 2016. "The Inference Graph of Cybersecurity Rules." 29th International Telecommunication Networks and Applications Conference (ITNAC 2019). Auckland, New Zealand 27 - 29 Nov 2019 New Zealand. IEEE (Institute of Electrical and Electronics Engineers). https://doi.org/10.1109/ITNAC46935.2019.9077958
Improving statistical inference with uncertain non-sample prior information
Khan, Shahjahan, Memon, Muhammed Ashraf, Pratikno, Budi and Yunus, Rossita M.. 2015. "Improving statistical inference with uncertain non-sample prior information." Journal of Islamic Countries Society of Statistical Sciences. 1 (1), pp. 1-11.
Testing equality of two intercepts for the parallel regression model with non-sample prior information
Pratikno, Budi and Khan, Shahjahan. 2017. "Testing equality of two intercepts for the parallel regression model with non-sample prior information." Communications in Statistics: Theory and Methods. 46 (6), pp. 3099-3110. https://doi.org/10.1080/03610926.2015.1054941
Reply to comment to Meta-analysis and systematic review of laparoscopic versus open mesh repair for elective incisional hernia. Jensen K, Jorgensen LN
Awaiz, A., Rahman, F., Hossain, M. B., Yunus, R. M., Khan, S., Memon, B. and Memon, M. A.. 2015. "Reply to comment to Meta-analysis and systematic review of laparoscopic versus open mesh repair for elective incisional hernia. Jensen K, Jorgensen LN." Hernia. 19 (6), pp. 1027-1029. https://doi.org/10.1007/s10029-015-1432-z
Meta-analysis and systematic review of laparoscopic versus open mesh repair for elective incisional hernia
Awaiz, A., Rahman, F., Hossain, M. B., Yunus, R. M., Khan, S., Memon, B. and Memon, M. A.. 2015. "Meta-analysis and systematic review of laparoscopic versus open mesh repair for elective incisional hernia." Hernia. 19 (3), pp. 449-463. https://doi.org/10.1007/s10029-015-1351-z
Suture cruroplasty versus prosthetic hiatal herniorrhaphy for large hiatal hernia: a meta-analysis and systematic review of randomized controlled trials
Memon, Muhammed Ashraf, Memon, Breda, Yunus, Rossita Mohamad and Khan, Shahjahan. 2016. "Suture cruroplasty versus prosthetic hiatal herniorrhaphy for large hiatal hernia: a meta-analysis and systematic review of randomized controlled trials." Annals of Surgery. 263 (2), pp. 258- 266. https://doi.org/10.1097/SLA.0000000000001267
Advances in the meta-analysis of heterogeneous clinical trials II: the quality effects model
Doi, Suhail A. R., Barendregt, Jan J., Khan, Shahjahan, Thalib, Lukman and Williams, Gail M.. 2015. "Advances in the meta-analysis of heterogeneous clinical trials II: the quality effects model." Contemporary Clinical Trials. 45 (A), pp. 123-129. https://doi.org/10.1016/j.cct.2015.05.010
Advances in the meta-analysis of heterogeneous clinical trials I: the inverse variance heterogeneity model
Doi, Suhail A. R., Barendregt, Jan J., Khan, Shahjahan, Thalib, Lukman and Williams, Gail M.. 2015. "Advances in the meta-analysis of heterogeneous clinical trials I: the inverse variance heterogeneity model." Contemporary Clinical Trials. 45 (A), pp. 130-138. https://doi.org/10.1016/j.cct.2015.05.009
Simulation comparison of the quality effects and random effects methods of metaanalysis
Doi, Suhail A. R., Barendregt, Jan J., Khan, Shahjahan, Thalib, Lukman and Williams, Gail M.. 2015. "Simulation comparison of the quality effects and random effects methods of metaanalysis." Epidemiology. 26 (4), pp. 42-44. https://doi.org/10.1097/EDE.0000000000000289
Contribution of Muslims to the regional social harmony, interreligious dialogue and culture
Khan, Shahjahan. 2014. "Contribution of Muslims to the regional social harmony, interreligious dialogue and culture." Harmes, Marcus K. and Batorowicz, Krzysztof (ed.) Peace, Interreligious Dialogue and Culture Seminar 2014. Toowoomba, Australia 13 - 14 Feb 2014 Toowoomba, Australia.
Classical and Bayesian prediction for multivariate simple regression model
Khan, Shahjahan. 2014. "Classical and Bayesian prediction for multivariate simple regression model." Ahmed, Munir (ed.) 13th Islamic Countries Conference on Statistical Sciences . Bogor, Indonesia 18 - 21 Dec 2014 Lahore, Pakistan.
Score test in robust M-procedure
Khan, Shahjahan and Yunus, Rossita M.. 2014. "Score test in robust M-procedure." Journal of Applied Probability and Statistics. 9 (2), pp. 55-75.
Effect of timing of pharmaconutrition (immunonutrition) administration on outcomes of elective surgery for gastrointestinal malignancies: a systematic review and meta-analysis
Osland, Emma, Hossain, Md Belal, Khan, Shahjahan and Memon, Muhammed Ashraf. 2014. "Effect of timing of pharmaconutrition (immunonutrition) administration on outcomes of elective surgery for gastrointestinal malignancies: a systematic review and meta-analysis." Journal of Parenteral and Enteral Nutrition. 38 (1), pp. 53-69. https://doi.org/10.1177/0148607112474825
Laparoscopic anterior versus posterior fundoplication for gastro-esophageal reflux disease: a meta-analysis and systematic review
Memon, Muhammed Ashraf, Subramanya, Manjunath S., Hossain, Md Belal, Yunus, Rossita Mohamad, Khan, Shahjahan and Memon, Breda. 2015. "Laparoscopic anterior versus posterior fundoplication for gastro-esophageal reflux disease: a meta-analysis and systematic review." World Journal of Surgery. 39 (4), pp. 981-996. https://doi.org/10.1007/s00268-014-2889-0
Performance evaluation and service rate provisioning for a queue with fractional Brownian input
Chen, Jiongze, Addie, Ronald G. and Zukerman, Moshe. 2013. "Performance evaluation and service rate provisioning for a queue with fractional Brownian input." Performance Evaluation. 70 (11), pp. 1028-1045. https://doi.org/10.1016/j.peva.2013.07.002
Statistics in planning and development
Khan, Shahjahan. 2013. "Statistics in planning and development." Pakistan Journal of Statistics. 29 (4), pp. 513-524.
Shrinkage estimation under multivariate elliptic models
Arashi, M., Khan, Shahjahan, Tabatabaey, S. M. M. and Soleimani, H.. 2013. "Shrinkage estimation under multivariate elliptic models." Communications in Statistics: Theory and Methods. 42 (11), pp. 2084-2103. https://doi.org/10.1080/03610926.2011.602492
Empirical link between economic growth, energy consumption and CO2 emission in Australia
Salahuddin, Mohammad and Khan, Shahjahan. 2013. "Empirical link between economic growth, energy consumption and CO2 emission in Australia." Journal of Developing Areas. 47 (2), pp. 81-92.
A new teletraffic approach for network planning and evolution prediction
Abramov, Vyacheslav, Addie, Ronald G., Li, Fan, Peng, Yu and Zukerman, Moshe. 2012. "A new teletraffic approach for network planning and evolution prediction." 2012 Optical Fiber Communication Conference (OFC 2012). Los Angeles, United States 04 - 08 Mar 2012 Washington, DC. United States.
How good (or bad) is shortest path routing in layered networks
Addie, Ronald G., Fatseas, David, Peng, Yu, Li, Fan and Zukerman, Moshe. 2012. "How good (or bad) is shortest path routing in layered networks." Chilamkurti, Naveen, Tian, Yu-Chu and Gregory, Mark (ed.) Australasian Telecommunication Networks and Applications Conference (ATNAC 2012). Brisbane, Australia 07 - 09 Nov 2012 Piscataway, NJ. United States. https://doi.org/10.1109/ATNAC.2012.6398056
Reflection method of estimation for measurement error models
Saqr, Anwar and Khan, Shahjahan. 2012. "Reflection method of estimation for measurement error models." Journal of Applied Probability and Statistics. 7 (2), pp. 71-88.
Optimal choice of test signals for linear channel estimation using second order statistics
Braithwaite, Stephen and Addie, Ronald Geoffrey. 2014. "Optimal choice of test signals for linear channel estimation using second order statistics." Optimization and Engineering. 15 (1), pp. 93-118. https://doi.org/10.1007/s11081-012-9193-3
Meta-analyses of lightweight versus conventional (heavy weight) mesh in inguinal hernia surgery
Memon, M. Ashraf, Khan, S. and Osland, E.. 2012. "Meta-analyses of lightweight versus conventional (heavy weight) mesh in inguinal hernia surgery." Hernia. 16 (5), pp. 497-502. https://doi.org/10.1007/s10029-012-0987-1
Testing of intercept when slope is under suspicion
Pratikno, Budi and Khan, Shahjahan. 2012. "Testing of intercept when slope is under suspicion." Ahmad, Munir (ed.) 11th Islamic Countries Conference on Statistical Sciences. Lahore, Pakistan 19 - 22 Dec 2011 Lahore, Pakistan.
Testing base load with non-sample prior information on process load
Khan, Shahjahan and Pratikno, Budi. 2013. "Testing base load with non-sample prior information on process load." Statistical Papers. 54 (3), pp. 605-617. https://doi.org/10.1007/s00362-012-0451-4
Layered design of mobile backhaul networks
Fatseas, David and Addie, Ron. 2011. "Layered design of mobile backhaul networks." 17th IEEE International Conference on Networks (ICON 2011). Singapore 14 - 16 Dec 2011 https://doi.org/10.1109/ICON.2011.6168491
Five examples of web-services for illustrating requirements for security architecture
Addie, Ronald G., Moffatt, Sam, Dekeyser, Stijn and Colman, Alan. 2011. "Five examples of web-services for illustrating requirements for security architecture." Zhang, Ji and Livraga, Giovanni (ed.) 2nd International Conference on Data and Knowledge Engineering (ICDKE 2011). Milan, Italy 06 - 08 Sep 2011 Piscataway, NJ. United States. https://doi.org/10.1109/ICDKE.2011.6053929
Early versus traditional postoperative feeding in patients undergoing resectional gastrointestinal surgery: a meta-analysis
Osland, Emma, Yunus, Rossita Mohamad, Khan, Shahjahan and Memon, Muhammed Ashraf. 2011. "Early versus traditional postoperative feeding in patients undergoing resectional gastrointestinal surgery: a meta-analysis." Journal of Parenteral and Enteral Nutrition. 35 (4), pp. 473-487. https://doi.org/10.1177/0148607110385698
Link dimensioning for fractional Brownian input
Chen, Jiongze, Addie, Ronald G. and Zukerman, Moshe. 2011. "Link dimensioning for fractional Brownian input." 2011 IEEE 12th International Conference on High Performance Switching and Routing, HPSR. Cartagena, Spain 04 - 06 Jul 2011 Piscataway, United States. https://doi.org/10.1109/HPSR.2011.5986019
Meta-analysis of D1 versus D2 gastrectomy for gastric adenocarcinoma
Memon, Muhammed Ashraf, Subramanya, Manjunath S., Khan, Shahjahan, Hossain, Md. Belal, Osland, Emma and Memon, Breda. 2011. "Meta-analysis of D1 versus D2 gastrectomy for gastric adenocarcinoma." Annals of Surgery. 253 (5), pp. 900-911. https://doi.org/10.1097/SLA.0b013e318212bff6
Five criteria for web-services security architecture
Addie, R. G. and Colman, Alan. 2010. "Five criteria for web-services security architecture." NSS 2010: 4th International Conference on Network and System Security . Melbourne, Australia 01 - 03 Sep 2010 https://doi.org/10.1109/NSS.2010.100
The bivariate noncentral chi-square distribution – a compound distribution approach
Yunus, Rossita M. and Khan, Shahjahan. 2011. "The bivariate noncentral chi-square distribution – a compound distribution approach." Applied Mathematics and Computation. 217 (13), pp. 6237-6247. https://doi.org/10.1016/j.amc.2010.12.112
A new teletraffic approach for network planning and evolution prediction
Abramov, Vyacheslav, Addie, Ronald G., Li, Fi, Peng, Yu and Zukerman, Moshe. 2012. "A new teletraffic approach for network planning and evolution prediction." 2012 Optical Fiber Communication Conference (OFC 2012). Los Angeles, United States 04 - 08 Mar 2012 United States. https://doi.org/10.1364/ofc.2012.oth1a.3
Optimizing multi-layered networks towards a transparently optical internet
Addie, Ronald G., Fatseas, David and Zukerman, Moshe. 2010. "Optimizing multi-layered networks towards a transparently optical internet." Jaworski, Marek and Marciniak, Marian (ed.) ICTON 2010: 12th International Conference on Transparent Optical Networks. Munich, Germany 27 Jun - 01 Jul 2010 Warsaw, Poland. https://doi.org/10.1109/ICTON.2010.5549023
Optimal choice of test signals for channel estimation
Braithwaite, Stephen and Addie, Ron. 2010. "Optimal choice of test signals for channel estimation." Li, Yan, Yang, Jiajia, Wen, Peng and Wu, Jinglong (ed.) 2010 IEEE/ICME International Conference on Complex Medical Engineering (ICME 2010). Gold Coast, Australia 13 - 15 Jul 2010 Brisbane, Australia. https://doi.org/10.1109/ICCME.2010.5558839
Early enteral nutrition within 24 h of intestinal surgery versus later commencement of feeding: a systematic review and meta-analysis [Letter to the Editor]
Osland, Emma, Yunus, Rossita M., Khan, Shahjahan and Memon, Muhammed Ashraf. 2009. "Early enteral nutrition within 24 h of intestinal surgery versus later commencement of feeding: a systematic review and meta-analysis [Letter to the Editor]." Journal of Gastrointestinal Surgery. 13 (6), pp. 1163-1165. https://doi.org/10.1007/s11605-009-0846-2
Non-linear echo cancellation - a Bayesian approach
Braithwaite, Stephen and Addie, Ron. 2009. "Non-linear echo cancellation - a Bayesian approach." Wysocki, Tadeusz A. and Wysocki, Beata J. (ed.) 2nd International Conference on Signal Processing and Communication Systems (ICSPCS 2008). Gold Coast, Australia 15 - 17 Dec 2008 Piscataway, NJ. United States. https://doi.org/10.1109/ICSPCS.2008.4813715
Meta-analysis of laparoscopic and open distal gastrectomy for gastric carcinoma
Memon, Muhammed Ashraf, Khan, Shahjahan, Yunus, Rossita Mohamad, Barr, Richard and Memon, Breda. 2008. "Meta-analysis of laparoscopic and open distal gastrectomy for gastric carcinoma." Surgical Endoscopy: surgical and interventional techniques. 22 (8), pp. 1781-1789. https://doi.org/10.1007/s00464-008-9925-9
Estimation of univariate normal mean using p-value
Kabir, Md Enamul and Khan, Shahjahan. 2007. "Estimation of univariate normal mean using p-value." 9th Islamic Countries Conference on Statistical Sciences. Shah Alam, Malaysia 12 - 14 Dec 2007 Kuala Lumpur, Malaysia.
Test for intercept after pre-testing on slope - a robust method
Yunus, Rossita M. and Khan, Shahjahan. 2007. "Test for intercept after pre-testing on slope - a robust method." Ahmad, Munir, Mohamed, Ibrahim, Osman, Jamil and Ibrahim, Noor Akma (ed.) 9th Islamic Countries Conference on Statistical Sciences. Shah Alam, Malaysia 12 - 14 Dec 2007 Kuala Lumpur, Malaysia.
Observed data based estimator and both observed data and prior information based estimator under asymmetric losses
Hoque, Zahirul, Wesolowski, Jacek and Khan, Shahjahan. 2007. "Observed data based estimator and both observed data and prior information based estimator under asymmetric losses." American Journal of Mathematical and Management Sciences. 27 (1-2), pp. 93-110. https://doi.org/10.1080/01966324.2007.10737690
Quantum simulation - rare event simulation by means of cloning, thinning and distortion
Addie, R. G.. 2002. "Quantum simulation - rare event simulation by means of cloning, thinning and distortion." European Transactions on Telecommunications. 13 (4), pp. 387-397. https://doi.org/10.1002/ett.4460130410
Prediction distribution of future regression and residual sum of squares matrices for multivariate simple regression model with correlated normal responses
Khan, Shahjahan. 2006. "Prediction distribution of future regression and residual sum of squares matrices for multivariate simple regression model with correlated normal responses." Journal of Applied Probability and Statistics. 1 (1), pp. 15-30.
Edgeworth size corrected W, LR and LM test in the formation of the preliminary test estimator
Khan, Shahjahan, Hoque, Zahirul and Billah, Baki. 2006. "Edgeworth size corrected W, LR and LM test in the formation of the preliminary test estimator." Journal of Statistical Research. 40 (2), pp. 55-64.
Optimal tolerance regions for some functions of multiple regression model with Student-t errors
Khan, Shahjahan. 2006. "Optimal tolerance regions for some functions of multiple regression model with Student-t errors." Journal of Statistics and Management Systems. 9 (3), pp. 699-715.
On the Size Corrected Tests in Improved Estimation
Hoque, Z., Billah, B. and Khan, S.. 2005. "On the Size Corrected Tests in Improved Estimation." Calcutta Statistical Association Bulletin. 57 (3-4), pp. 143-160. https://doi.org/10.1177/0008068320050301
Estimation of parameters of the simple multivariate linear model with student t-errors
Khan, Shahjahan. 2005. "Estimation of parameters of the simple multivariate linear model with student t-errors ." Journal of Statistical Research. 39 (2), pp. 79-94.
A framework for role-based group delegation in distributed environments
Wang, Hua, Li, Jiuyong, Addie, Ron, Dekeyser, Stijn and Watson, Richard. 2006. "A framework for role-based group delegation in distributed environments." Estivill-Castro, Vladimir and Dobbie, Gillian (ed.) 29th Australasian Computer Science Conference (ACSC 2006). Hobart, Australia 16 - 19 Jan 2006 Australia.
Estimation of the intercept parameter for linear regression model with uncertain non-sample prior information
Khan, Shahjahan, Hoque, Zahirul and Saleh, A. K. Md. E.. 2005. "Estimation of the intercept parameter for linear regression model with uncertain non-sample prior information." Statistical Papers. 46 (3), pp. 379-395. https://doi.org/10.1007/bf02762840
Peer-to-peer form based web information systems
Dekeyser, Stijn, Hidders, Jan, Watson, Richard and Addie, Ron. 2006. "Peer-to-peer form based web information systems." Dobbie, Gillian and Bailey, James (ed.) ADC 2006: 17th Australasian Database Conference. Hobart, Australia 16 - 19 Jan 2006 Australia.
Bridging the divide by screencasting in an introductory statistics class at an Australian university
Khan, Shahjahan, Loch, Birgit and McDonald, Christine. 2010. "Bridging the divide by screencasting in an introductory statistics class at an Australian university." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.
A new blind signature for electronic commerce
Wang, Hua and Addie, Ron. 2004. "A new blind signature for electronic commerce." 3rd International Conference on Information (INFO'2004). Tokyo, Japan 2004
Meta-analysis of laparoscopic posterior and anterior fundoplication for gastro-oesophageal reflux disease
Subramanya, M. S., Hossain, M. B., Khan, S., Memon, B. and Memon, M. A.. 2010. "Meta-analysis of laparoscopic posterior and anterior fundoplication for gastro-oesophageal reflux disease." Li, Yan, Yang, Jiajia, Wen, Peng and Wu, Jinglong (ed.) 2010 IEEE/ICME International Conference on Complex Medical Engineering (ICME 2010). Gold Coast, Australia 13 - 15 Jul 2010 Piscataway, NJ. United States. https://doi.org/10.1109/ICCME.2010.5558829
M-tests for multivariate regression model
Yunus, Rossita M. and Khan, Shahjahan. 2011. "M-tests for multivariate regression model." Journal of Nonparametric Statistics. 23 (1), pp. 201-218. https://doi.org/10.1080/10485252.2010.503896
Preliminary results of a meta-analysis evaluating the effect of immunonutrition on outcomes on outcomes of elective gastrointestinal surgery
Osland, Emma, Hossain, Md. Belal, Khan, Shahjahan and Memon, Muhammed A.. 2010. "Preliminary results of a meta-analysis evaluating the effect of immunonutrition on outcomes on outcomes of elective gastrointestinal surgery." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.
Benefits of early feeding versus traditional nil-by-mouth nutritional postoperative management in gastrointestinal resectional surgery patients: a meta-analysis
Osland, Emma, Yunus, Rossita Mohamad, Khan, Shahjahan and Memon, Muhammed A.. 2010. "Benefits of early feeding versus traditional nil-by-mouth nutritional postoperative management in gastrointestinal resectional surgery patients: a meta-analysis." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.
Preliminary results of meta-analysis of endoscopic retrograde cholangiopancreatography (ERCP) versus conservative treatment for gall stone pancreatitis
Burstow, Matthew J., Yunus, Rossita M., Khan, Shahjahan, Memon, Breda and Memon, Muhammed A.. 2010. "Preliminary results of meta-analysis of endoscopic retrograde cholangiopancreatography (ERCP) versus conservative treatment for gall stone pancreatitis." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.
Preliminary results of meta-analysis of laparoscopic and open inguinal hernia repair
Burstow, Matthew John, Yunus, Rossita Mohamad, Khan, Shahjahan, Memon, Breda and Memon, Muhammed Ashraf. 2010. "Preliminary results of meta-analysis of laparoscopic and open inguinal hernia repair." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.
M-test of two parallel regression lines under uncertain prior information
Khan, Shahjahan and Yunus, Rossita M.. 2010. "M-test of two parallel regression lines under uncertain prior information." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.
Meta-analysis of D1 versus D2 gastrectomy for gastric adenocarcinoma
Subramanya, Manjunath S., Hossain, Md. Belal, Khan, Shahjahan, Memon, Breda and Memon, Muhammed A.. 2010. "Meta-analysis of D1 versus D2 gastrectomy for gastric adenocarcinoma." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.
Statistical inference
Khan, Shahjahan. 2010. "Statistical inference." Gaber, Mohamed Medhat (ed.) Scientific data mining and knowledge discovery: principles and foundations. Berlin, Germany. Springer. pp. 53-76
Increasing the power of the test through pre-test: a robust method
Yunus, Rossita M. and Khan, Shahjahan. 2011. "Increasing the power of the test through pre-test: a robust method." Communications in Statistics: Theory and Methods. 40 (4), pp. 581-597. https://doi.org/10.1080/03610920903350572
M-test for intercept after pre-testing on slope
Yunus, Rossita M. and Khan, Shahjahan. 2010. "M-test for intercept after pre-testing on slope." Journal of Statistical Modeling and Analytics. 1 (1), pp. 45-57.
A priority-based processor sharing model for TDM passive optical networks
Wang, Yan, Zukerman, Moshe, Addie, Ronald G., Chan, Sammy and Harris, Richard J.. 2010. "A priority-based processor sharing model for TDM passive optical networks." IEEE Journal on Selected Areas in Communications. 28 (6), pp. 863-874. https://doi.org/10.1109/JSAC.2010.100811
Increasing power of robust test through pre-testing in multiple regression model
Yunus, Rossita M. and Khan, Shahjahan. 2010. "Increasing power of robust test through pre-testing in multiple regression model." Pakistan Journal of Statistics. 26 (1), pp. 151-170.
ECOOSE: an echo cancellation object oriented simulation environment
Braithwaite, Stephen and Addie, Ron. 2009. "ECOOSE: an echo cancellation object oriented simulation environment." 2nd International Conference on Simulation Tools and Techniques for Communications, Networks and Systems and Workshops. Rome, Italy 02 - 06 Mar 2009 Brussels, Belgium. https://doi.org/10.4108/ICST.SIMUTOOLS2009.5775
Scientific and scholarly contributions of Distinguished Research and Emeritus Professor A K Md Ehsanes Saleh
Khan, Shahjahan. 2009. "Scientific and scholarly contributions of Distinguished Research and Emeritus Professor A K Md Ehsanes Saleh." International Journal of Statistical Sciences. 9, pp. 7-31.
Meta-analysis of randomised clinical trials comparing open and laparoscopic anti-reflux surgery
Peters, Matthew James, Mukhtar, Athar, Yunus, Rossita Mohamad, Khan, Shahjahan, Pappalardo, Juanita, Memon, Breda and Memon, Muhammed Ashraf. 2009. "Meta-analysis of randomised clinical trials comparing open and laparoscopic anti-reflux surgery." The American Journal of Gastroenterology. 104 (6), pp. 1548-1561. https://doi.org/10.1038/ajg.2009.176
Optimal tolerance regions for future regression vector and residual sum of squares of multiple regression model with multivariate spherically contoured errors
Khan, Shahjahan. 2009. "Optimal tolerance regions for future regression vector and residual sum of squares of multiple regression model with multivariate spherically contoured errors." Statistical Papers. 50 (3), pp. 511-525. https://doi.org/10.1007/s00362-007-0095-y
Performance analysis of a Poisson-Pareto queue over the full range of system parameters
Addie, Ron, Neame, Timothy D. and Zukerman, Moshe. 2009. "Performance analysis of a Poisson-Pareto queue over the full range of system parameters." Computer Networks. 53 (7), pp. 1099-1113. https://doi.org/10.1016/j.comnet.2008.12.016
Prediction distribution of generalized geometric series distribution and its different forms
Hassan, Anwar and Khan, Shahjahan. 2009. "Prediction distribution of generalized geometric series distribution and its different forms." Pakistan Journal of Statistics. 25 (1), pp. 47-57.
Improved meta analysis using predicted relative risk
Khan, Shahjahan and Hasan, Md Masud. 2008. "Improved meta analysis using predicted relative risk." Chowdhury, Abdul Hannan, Khan, Shahjahan, Ahmed, Nasar U., Rahman, M. Saydur and Kibria, B. M. Golam (ed.) 2008 International Conference on Recent Development in Statistical Sciences. Dhaka, Bangladesh 26 - 27 Dec 2008 Dhaka, Bangladesh.
Estimation of slope for linear regression model with uncertain prior information and student-t error
Khan, Shahjahan and Saleh, A. K. Md. E.. 2008. "Estimation of slope for linear regression model with uncertain prior information and student-t error." Communications in Statistics: Theory and Methods. 37 (16), pp. 2564-2581. https://doi.org/10.1080/03610920802040399
Sine square distribution: a new statistical model based on the sine function
Al-Faris, Rand Q. and Khan, Shahjahan. 2008. "Sine square distribution: a new statistical model based on the sine function." Journal of Applied Probability and Statistics. 3 (1), pp. 163-173.
Estimation in multiple regression model with elliptically contoured errors under MLINEX loss
Arashi, M., Tabatabaey, S. M. M. and Khan, Shahjahan. 2008. "Estimation in multiple regression model with elliptically contoured errors under MLINEX loss." Journal of Applied Probability and Statistics. 3 (1), pp. 23-35.
Prediction distribution for linear regression model with multivariate student-t errors
Rahman, Azizur and Khan, Shahjahan. 2008. "Prediction distribution for linear regression model with multivariate student-t errors." Far East Journal of Theoretical Statistics. 24 (1), pp. 35-48.
On asymptotic accuracy in queueing theory - the tale of the misleading tail
Addie, Ronald G., Neame, Timothy D. and Zukerman, Moshe. 2003. "On asymptotic accuracy in queueing theory - the tale of the misleading tail." Australian Telecommunications Networks and Applications Conference (ATNAC 2003). Melbourne, Australia 08 - 10 Dec 2003 Melbourne, Australia.
Asymptotically accurate flow completion time distributions under fair queueing
Addie, R. G. and Yevdokimov, Oleksiy. 2008. "Asymptotically accurate flow completion time distributions under fair queueing." Green, Richard (ed.) Australasian Telecommunication Networks and Applications Conference (ATNAC 2007): Next Generation Networks: Enabling Closer International Cooperation. Christchurch, New Zealand 02 - 05 Dec 2007 Piscataway, NJ. United States. https://doi.org/10.1109/ATNAC.2007.4665290
Snapshot simulation of internet traffic: fast and accurate for heavy-tailed flows
Addie, Ron. 2008. "Snapshot simulation of internet traffic: fast and accurate for heavy-tailed flows." 1st International Workshop on the Evaluation of Quality of Service through Simulation in the Future Internet (QoSim 2008). Marseille, France 03 - 08 Mar 2008 Marseille, France.
Shrinkage estimators of intercept parameters of two simple regression models with suspected equal slopes
Khan, Shahjahan. 2008. "Shrinkage estimators of intercept parameters of two simple regression models with suspected equal slopes." Communications in Statistics: Theory and Methods. 37 (2), pp. 247-260. https://doi.org/10.1080/03610920701648961
On weak convergence of long-range-dependent traffic processes
Addie, R. G.. 1999. "On weak convergence of long-range-dependent traffic processes." Journal of Statistical Planning and Inference. 80 (1), pp. 155-171.
Comparison of estimators of means based on p-samples from multivariate Student-t population
Khan, Shahjahan and Saleh, A. K. Md. Ehsanes. 1998. "Comparison of estimators of means based on p-samples from multivariate Student-t population." Communications in Statistics: Theory and Methods. 27 (1), pp. 193-210. https://doi.org/10.1080/03610929808832660
Netml - an XML-based language for describing networks
Zareer, A. and Addie, Ron. 2004. "Netml - an XML-based language for describing networks." 3rd International Information and Telecommunication Technologies Symposium (I2TS 2004). Sao Carlos, Brazil 06 - 09 Dec 2004 Sao Carlos, Brazil.
Admission control schemes for bursty multimedia traffic
Lee, Teck Kiong, Zukerman, Moshe and Addie, Ronald G.. 2001. "Admission control schemes for bursty multimedia traffic." Cruz, R. and Pacifici, G. (ed.) 20th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM 2001). Anchorage, United States 22 - 26 Apr 2001 Piscataway, NJ. United States. https://doi.org/10.1109/INFCOM.2001.916739
A tradeoff between increased network speed and reduced effective bandwidths
Neame, Timothy D., Zukerman, Moshe and Addie, Ronald G.. 2001. "A tradeoff between increased network speed and reduced effective bandwidths." Nuevo, Y. (ed.) IEEE International Conference on Communications (ICC 2001): Where Minds Meet. Helsinki, Finland 11 - 14 Jun 2000 Piscataway, NJ. United States. https://doi.org/10.1109/ICC.2001.936741
Performance evaluation of a queue fed by a Poisson Pareto burst process
Addie, Ron, Neame, Timothy D. and Zukerman, Moshe. 2002. "Performance evaluation of a queue fed by a Poisson Pareto burst process." Computer Networks. 40 (3), pp. 377-397.
Most probable paths and performance formulae for buffers with Gaussian input traffic
Addie, Ron, Mannersalo, Petteri and Norros, Ilkka. 2002. "Most probable paths and performance formulae for buffers with Gaussian input traffic." European Transactions on Telecommunications. 13 (3), pp. 183-196.
Internet traffic modeling and future technology implications
Zukerman, Moshe, Neame, Timothy D. and Addie, Ron. 2003. "Internet traffic modeling and future technology implications." 22nd Annual Joint Conference of the IEEE Computer and Communications Societies. San Francisco, United States 30 Mar - 03 Apr 2003 San Francisco, United States.
Protecting small flows from large ones for quality of service
Addie, R. G., Yevdokimov, Oleksiy, Braithwaite, Stephen and Millsom, David. 2007. "Protecting small flows from large ones for quality of service." Bernstein, David, Dini, Petre, Hladka, Eva, Reza, Hassan, Romascanu, Dan and Sankar, Krishna (ed.) 2nd International Conference on Digital Telecommunications (ICDT 2007). San Jose, United States 01 - 06 Jul 2007 Piscataway, NJ. United States. https://doi.org/10.1109/ICDT.2007.68
Prediction distribution for linear regression model with multivariate Student-t errors under the Bayesian approach
Rahman, Azizur and Khan, Shahjahan. 2007. "Prediction distribution for linear regression model with multivariate Student-t errors under the Bayesian approach." Ismail, Fudziah, Tarmizi, Rohani, Midi, Habsha, Said, Mohamad and Abbas, Zulkifly (ed.) 3rd International Conference on Research and Education in Mathematics (ICREM3). Kuala Lumpur, Malaysia 10 - 12 Apr 2007 Kuala Lumpur, Malaysia.
Time variation characteristics of MIMO-OFDM broadband channels in populated indoor environments
Das Gupta, Jishu, Ziri-Castro, Karla and Addie, Ron. 2006. "Time variation characteristics of MIMO-OFDM broadband channels in populated indoor environments." Ellershaw, John (ed.) Australian Telecommunications Networks and Applications Conference (ATNAC 2006). Melbourne, Australia 04 - 06 Dec 2006 Melbourne, Australia.
Netml: a language and website for collaborative work on networks and their algorithms
Addie, Ron, Braithwaite, Stephen and Zareer, Abdulla. 2006. "Netml: a language and website for collaborative work on networks and their algorithms." Ellershaw, John (ed.) Australian Telecommunications Networks and Applications Conference (ATNAC 2006). Melbourne, Australia 04 - 06 Dec 2006 Melbourne Australia.
Aggregate flows: for efficient management of large flows in the internet
Addie, Ron, Braithwaite, Stephen, Das Gupta, Jishu and Leis, John W.. 2006. "Aggregate flows: for efficient management of large flows in the internet." WITSP 2006: 5th Workshop on the Internet, Telecommunications and Signal Processing. Hobart, Australia 11 - 13 Dec 2006 Tarrawanna, N.S.W., Australia.
Shrinkage estimation of the slope parameters of two parallel regression lines under uncertain prior information
Khan, Shahjahan. 2006. "Shrinkage estimation of the slope parameters of two parallel regression lines under uncertain prior information." Model Assisted Statistics and Applications: an international journal. 1 (3), pp. 193-205.
Estimation of the parameters of two parallel regression lines under uncertain prior information
Khan, Shahjahan. 2003. "Estimation of the parameters of two parallel regression lines under uncertain prior information." Biometrical Journal: journal of mathematical methods in biosciences. 45 (1), pp. 73-90. https://doi.org/10.1002/bimj.200290017
The role of the shape parameter in the estimation of the mean vector in multivariate Student-t population
Khan, Shahjahan. 2004. "The role of the shape parameter in the estimation of the mean vector in multivariate Student-t population." International Journal of Statistical Sciences. 3 (Special issue), pp. 69-89.
Improved estimation of the mean vector for Student-t model.
Khan, Shahjahan. 2000. "Improved estimation of the mean vector for Student-t model." Communications in Statistics: Theory and Methods. 29 (3), pp. 507-527.
Distribution of sum of squares and products matrices for the generalized multilinear matrix-T model
Khan, Shahjahan. 2002. "Distribution of sum of squares and products matrices for the generalized multilinear matrix-T model." Journal of Multivariate Analysis. 83, pp. 124-140. https://doi.org/10.1006/jmva.2001.2040
Distribution of future location vector and residual sum of squares for multivariate location-scale model with spherically contoured errors
Khan, Shahjahan and Kabir, Md Enamul. 2006. "Distribution of future location vector and residual sum of squares for multivariate location-scale model with spherically contoured errors." Journal of Statistical Theory and Applications. 5 (2), pp. 91-104.
Predictive distribution of regression vector and residual sum of squares for normal multiple regression model
Khan, Shahjahan. 2004. "Predictive distribution of regression vector and residual sum of squares for normal multiple regression model." Communications in Statistics: Theory and Methods. 33 (10), pp. 2423-2443. https://doi.org/10.1081/STA-200031471
Implementing shortest job first order of service in the internet
Addie, Ron, Li, Zhi and McNickle, Don. 2005. "Implementing shortest job first order of service in the internet." Zerger, Andre and Argent, Robert M. (ed.) 16th International Congress on Modelling and Simulation (MODSIM05). Melbourne, Australia 12 - 15 Dec 2005 Melbourne, Australia. Modelling and Simulation Society of Australia and New Zealand .
Comparing different approaches to the use of DiffServ in the internet
McNickle, Don and Addie, Ron. 2005. "Comparing different approaches to the use of DiffServ in the internet." Vinnal, E. (ed.) 2005 IEEE Region 10 International Conference (TENCON 2005). Melbourne, Australia 21 - 24 Nov 2005 Melbourne, Australia. https://doi.org/10.1109/TENCON.2005.301038
Preliminary test estimators for the multivariate normal mean based on the modified W, LR and LM tests
Khan, S. and Hoque, Z.. 2003. "Preliminary test estimators for the multivariate normal mean based on the modified W, LR and LM tests." Journal of Statistical Research. 37 (1), pp. 43-55.