Probability distributions of functions of random variables, the law of large numbers and the central limit theorem. Point and interval estimation, optimal estimation, maximum likelihood methods, more on tests of hypotheses, Neyman-Pearson lemma, likelihood ratio tests, large sample theory, Chi-square tests and contingency tables.
Programme: MATH(SPS)
Probability distributions of functions of random variables, the law of large numbers and the central limit theorem. Point and interval estimation, optimal estimation, maximum likelihood methods, more on tests of hypotheses, Neyman-Pearson lemma, likelihood ratio tests, large sample theory, Chi-square tests and contingency tables.