Books

Probability and Statistical Inference

After Hogg, Tanis, and Zimmerman, Probability and Statistical Inference

I am learning probability and statistical inference by writing it as a book.

  1. Preface

Probability

Discrete Distributions

Continuous Distributions

  1. Random Variables of the Continuous Type
  2. The Exponential, Gamma, and Chi-Squared Distributions
  3. The Normal Distribution

Bivariate Distributions

  1. Bivariate Distributions of the Discrete Type
  2. The Correlation Coefficient
  3. Conditional Distributions
  4. Bivariate Distributions of the Continuous Type
  5. The Bivariate Normal Distribution

Distributions of Functions of Random Variables

  1. Functions of One Random Variable
  2. Transformation of Two Random Variables
  3. Several Random Variables
  4. The Moment-Generating Function Technique
  5. Random Functions Associated with the Normal Distributions
  6. The Central Limit Theorem
  7. Approximations for Discrete Distributions
  1. References
  2. Index