Course Archives Theoretical Statistics and Mathematics Unit

Course: Introduction to Statistical Inference Instructor: Rituparna Sen Room: Second floor auditorium Level: Undergraduate Time: Currently offered

Syllabus Past Exams Syllabus: For Prob III: All limit theorems used in this course will be stated in context with applications. These can be proved in Probability III rigorously. i) Sufficiency, Exponential family, Bayesian methods, Moment methods, Maximum likelihood estimation. ii) Criteria for estimators; UMVUE, Fisher Information. iii) Multivariate normal distribution: Marginals, Conditionals; Distribution of linear forms. iv) Order statistics and their distributions. v) Large sample theory: Consistency, asymptotic normality, asymptotic relative efficiency. vi) Elements of hypothesis testing; Neyman-Pearson Theory, UMP tests, Likelihood ratio and related tests, Large sample tests. vii) Confidence intervals. Reference Texts: (a) George Casella and Roger L Berger: Statistical Inference. (b) Peter J Bickel and Kjell A Doksum: Mathematical Statistics. (c) Erich L Lehmann and George Casella: Theory of Point Estimation. (d) Erich L Lehmann and Joseph P Romano: Testing Statistical Hypotheses. Evaluation: Midterm 30 marks Assignments 20 marks Final Exam 50 marks Total 100 marks Top of the page Past Exams

Midterm 23.pdf 24.pdf Semestral 23.pdf 24.pdf Supplementary and Back Paper 23.pdf 24.pdf Top of the page

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]