**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, 2^{nd} edition. Duxbury

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