Week 1 : Revision of Probability, Different Discrete and Continuous Distributions
Week 2 : Functions of Random Variables and their distributions, T, Chi-sq, F distributions and their Moments
Week 3 : Introduction of statistics and the distinction between Data and its properties, and probabilistic models
Week 4 : Estimator and methods of estimation, Properties of an estimator: Consistency, Unbiasedness, Efficiency and Sufficiency
Week 5 : Neyman Factorization, Cramer-Rao Bound
Week 6 : Confidence Intervals, Concepts of hypothesis testing, Characteristics of Good Hypothesis, null and Alternative Hypotheses, Types of Errors
Week 7 : Inference on Population mean, Comparing two population means, Inference on Variance, Comparing two population variance
Week 8 : Neyman Pearson Lemma
BOOKS AND REFERENCES
1) Probability and Statistics for engineers and scientists, Ed 4, Anthony J Hayter, Brroks/Cole, Cengage Learning.
2) Statistical Methods, R.J.Freund, W.J. Wilson and D.L Mohr, (Ed 3) Elsevier.
3) Mathematical Statistics: A Textbook, S. Biswas and G.L.Sriwastav, Narosa