302316 (v.1) Statistical Inference 301


 

Area:Department of Mathematics and Statistics
Credits:25.0
Contact Hours:4.0
Lecture:3 x 1 Hours Weekly
Tutorial:1 x 1 Hours Weekly
Prerequisite(s):302315 (v.2) Mathematical Statistics 202 or any previous version
Syllabus:Procedures and properties of estimators - Fisher information, Cramer-Rao bound, consistency, sufficiency and Rao-Blackwell theorem. Hypothesis testing - Neyman-Pearson Lemma likelihood ratio, power function and confidence sets. Bayesian inference and nexus with likelihood. Monte Carlo, Boot-Strap and resampling Methods. Review of matrix algebra-random vectors, mean vectors and covariance matrices. Multivariate normal and its associated distributions.
 
Unit Outcomes: On completion of this unit, students will have been exposed to multivariate statistical analysis and statistical inference.
Text and references listed above are for your information only and current as of September 30, 2003. Please check with the unit coordinator for up-to-date information.
Unit References: Cassella, G., Berger, R.L. 1990 Statistical inference / Duxbury Press. Rice, John A. 1995 Mathematical statistics and data analysis / Duxbury. Freund, John. 1999 Mathematical statistics", Prentice Hall, 6th edition.. Dudewicz, E.J. & Mishra, S.N. Modern1988 Mathematical Statistics / , John Wiley.
Unit Texts: Morris H. DeGroot and Mark J. Schervish 2002 Probability and Statistics 3rd edition. Addison Wesley
 
Unit Assessment Breakdown: Weekly Exercises 15%, Mid Semester test 15%, Assignment (2) 15%, Final Exam 55%
YearLocationPeriodInternalArea ExternalCentral External
2004Bentley CampusSemester 1Y  

 

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