Syllabus
Unit I
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.
Unit II
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.
Unit III
Inference theory – introduction to hypothesis testing – large sample tests for single mean and two means – large sample tests for single proportion and two proportions.
Unit IV
Small sample tests for single mean and two means – paired t-test – test for single variance – test for equality of two variances.
Unit V
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.