Concept of population, sample, statistics, parameter-point estimation-Concept of point estimation-consistency, unbiasedness, efficiency-sufficiency-Neyman Factorization Theorem-Cramer Rao Inequality – Rao –Blackwell Theorem.

Methods of estimation–Maximum Likelihood, moments - Properties, interval estimation –confidence interval–Derivation of Confidence intervals based on normal, t & Chi-Square.

Null and alternative hypothesis , Critical Region, Type I error & Type II errors –Power of test (concepts only).Test of Significance –Large sample tests with respect to Mean, Standard Deviation ,Proportion, Difference between Means ,Standard Deviations and Proportions. Exact tests based on t, Chi- Square and F distribution (Simple Problems).

Sampling from finite population – Simple random Sampling, Stratified Random Sampling and Systematic sampling- Estimation of mean, total and their standard errors.

Analysis of Variance: One way, two way Classifications –Fundamental principles of Experimentation.