Course Mathematical Statistics
Description
1. Point Estimation
2. Con¯dence Intervals
3. Testing of Statistical Hypotheses and Chi-Square Test.
4. Properties of Estimators.
5. Su±cient Statistic.
6. Completeness and uniqueness
7. Exponential Class of distributions
8. Multi-parameter Case Minimal Su±cient Statistic.
9. Bayesian Estimators
10. Roa-Cramer Bound
11. Asymptotic Distribution of Maximum Likelihood Estimators and Robust Estimation
12. Theory of Statistical Tests, UMP Tests, Likelihood Ratio Tests, The sequential Probability Ratio Tests,
and Minimax
Academic Year Fourth Year