MATH 5313

 

Description:

 

This course studies basic theory of statistics. Applications of statistics are given.

 

Topics:

 

Sampling distributions of statistics

Point estimation

Unbiaedness

Sufficiency

Efficiency

Completeness

Exponential family

Bayes estimate

Interval estimation

Bayesian interval

Tests of hypotheses

Neyman-Pearson Lemma

Uniformly most powerful tests

Likelihood ratio tests

Sequential tests

Contingency tables

Linear regression

 

References:

 

Bain, Lee J. and Engelhardt, Max (1992) Introduction to Probability and Mathematical

                 Statistics, 2nd edition. Duxbury

 

Casella, George and Berger, Roger, L. (1990) Statistical Inference. Wadsworth