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.