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• Week 1: Objective of statistical analysis and theory with respect to inferential statistics
• Week 2: Criteria for the choice of families of models, the likelihood, sufficient statistics, some general principals of statistics inference
• Week 3: Point estimation: General considerations on bias and variance
• Week 4: Maximum likelihood estimation and Cramer–Rao inequality
• Week 5: Sufficient Statistics and Exponential family and Methods of Evaluating the estimators
• Week 6: Interval estimation, Confidence interval of parameters for normal and non-normal distributions
• Week 7 : Robustness and robust measures of location and scale
• Week 8: Measuring the robustness by sensitivity analysis and breakdown point
• Week 9: MLEs and their properties
• Week 10: Hypothesis testing, basic concepts and applications
• Week 11: Simple Likelihood Ratio Tests, MPT and UMPT
• Week 12: Generalized Likelihood Ratio Tests
• Week 13: GLRT for Two Sample Problems
• Week 14: Asymptotic theory: Wilks Theorm and its applications
• Week 15: Robust Inference
• Week 16: Distribution Free tests