Estimation theory – Point Estimation – Introduction- criteria of point estimation, unbiasedness, consistency, sufficiency, and efficiency of various distributions, method of maximum likelihood estimation and method of moments – minimum risk estimators.
Interval Estimation: Introduction – confidence Interval for mean of a Normal Distribution with Variance known and unknown – Confidence Interval for the two means of a Normal Distribution with Variance known and unknown, Confidence interval for one and two Population Proportions , Confidence interval for the variance and ratio of variances.
Inference theory – introduction to hypothesis testing – large sample tests for single mean and two means – large sample tests for single proportion and two proportions. +
Small sample tests for single mean and two means – paired t-test – test for single variance – test for equality of two variances.
Chi-square goodness of fit for Binomial, Poisson and Normal distributions, Independence of attributes, test for homogeneity, Non-parametric tests – sign test, signed rank test and Mann-Whitney U test.