- Chapter 1 Probability And Distribution Functions of Bivariate Distributions
- Introduction
- Concept of Bivariate Random Variables
- Joint Probability Distributions
- Joint Cumulative Distribution Functions
- Marginal Distribution of Bivariate Random Variables
- Conditional Distribution of Bivariate Random Variables
- Independence of Bivariate Random Variables
- Chapter 2 Sums, Differences, Products and Quotients of Bivariate Distributions
- Introduction
- Sums of Bivariate Random Variables
- Differences of Random Variables
- Products of Bivariate Random Variables
- Quotients of Bivariate Random Variables
- Chapter 3 Expectation and Variance of Bivariate Distributions
- Introduction
- Expectation of Bivariate Random Variables
- Variance of Bivariate Random Variables
- Chapter 4 Measures of Relationship of Bivariate Distributions
- Introduction
- Product Moment
- Covariance of Random Variables
- Correlation Coefficient of Random Variables
- Conditional Expectations
- Conditional Variances
- Regression Curves
- Chapter 5 Statistical Inequalities and Limit Laws
- Introduction
- Markov’s Inequality
- Chebyshev’s Inequality
- Law of Large Numbers
- Central Limit Theorem
- Chapter 6 Sampling Distributions I: Basic Concepts
- Introduction
- Statistical Inference
- Probability Sampling
- Sampling With and Without Replacement
- Chapter 7 Sampling Distributions II: Sampling Distribution of Statistics
- Introduction
- Sampling Distribution of Means
- Sampling Distribution of Proportions
- Sampling Distribution of Differences
- Sampling Distribution of Variance
- Chapter 8 Distributions Derived from Normal Distribution
- Introduction
- χ2 Distribution
- t Distribution
- F Distribution
- Statistical Tables
- Answers to Odd-Numbered Exercises
- Bibliography