Probability And Statistical Models

Module Title:
Probability and Statistical models
Module Code:

Module Content

Sample space of events, probability, conditional probability and independence; Random variables and their distributions, moments of random variables; Convergence of sequence of random variables, law of large numbers and central limit theorem; Poisson process; Birth death process, parametric lifetime distributions such as exponential, Weibull, and gamma distributions. Sampling distribution; Estimation, testing of hypothesis, Chi-square tests; Analysis of contingency tables; Non-parametric tests: Randomization tests, Wilcoxon's Signed- rank and rank sum tests, Siegel-Tukey test, Kruskal Wallis test, Sign test, McNemar test, Fisher's exact test, and other important tests; Regression and correlation analysis. Application of R.