1 - Review of Probability and Distributions

• Probability, Probabilities concepts
• Random Variables,
• Mathematical Expectation, Moments
• Conditional Distributions, Sampling Distributions

2 - Change of Random Variables

• Distribution function technique
• Transformation technique

3 - Order Statistics

• Order Statistics

4 - Point Estimation (insane chapter)

• Point Estimation
  • Unbiasedness
  • Efficiency
  • Consistency
  • Sufficiency
• Method of moments (MM)
• Method of maximum likelihood
• Bayesian estimation

5 - Internal Estimation

• Interval Estimation
• Interval estimation for mean
• Interval estimation for the difference between means
• Interval estimation for proportions
• Interval estimation for the difference between proportions
• Interval estimation for variances

6 - Hypothesis Testing

• Hypothesis Testing
• Hypothesis Types
• Neyman-Pearson lemma
• Power function of a test
• Likelihood ratio test

7 - Tests of Hypothesis

• Test of Means
• Test of difference between means
• Test of Variances
• Test of Proportions
• Test of k proportions
• Goodness of fit test