Unit 1 Discrete Distributions

6 lecture hours

• Random variables
• Standard probability distributions-Binomial
• Poisson and Geometric distributions
• Moment generating function of respective distributions
• Two dimensional random variables

Unit 2 Continuous Distributions

5 lecture hours

• Special distributions- Normal
• Weibull and Beta distributions - Mean
• Raw moments from moment generating functions of respective distributions

Unit 3 Sampling Distributions

6 lecture hours

• Random Sampling
• Sampling distributions of mean and variance
• F-test and Chi-square test

Unit 4 Estimation Theory

• Estimation of Parameters
• Maximum likelihood estimates
• Confidence interval estimation of population parameters Method of moments

Unit 5 Hypothesis Testing

5 lecture hours

• Large sample tests for mean and proportion
• Non parametric tests
• Goodness of fit tests
• Analysis of variance - One way and two way classifications

Unit 6 Design of Experiments

• Completely Randomized Design
• Randomized Block design
• Latin square design - 2 Factorial Design
• Fundamental Assumptions of analysis of variance
• Single factor experiments – Fixed/random effects model – Model adequacy checking - Multiple comparisons - Design of experiments with several factors - Two factor factorial experiments
• Taguchi Approach to Design of Experiments - The Loss Function – Orthogonal array – Signal-to- Noise ratio

Unit 7 B Descriptive Statistics

• 7 Regression and Correlation: Method of least squares
• Linear Regression
• Polynomial Regression and Multiple Regression
• Karl 6 Subject Code: 3724611 w.e.f