Statistical Inference/Multiple Random Variables

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Statistical Inference
Probability Theory
Transformations and Expectations
Common Families of Distributions
Multiple Random Variables
Properties of a Random Sample
Principles of Data Reductions
Point Estimation
Hypothesis Testing
Interval Estimation
Asymptotic Evaluations
Analysis of Variance and Regression
Regression Models

Contents

1 Joint and Marginal Distributions
2 Conditional Distributions and Independence
3 Bivariate Transformations
4 Hierarchical Models and Mixture Distributions
5 Covariance and Correlation
6 Multivariate Distributions
7 Inequalities
- 7.1 Numerical Inequalities
- 7.2 Functional Inequalities

Joint and Marginal Distributions

Conditional Distributions and Independence

Bivariate Transformations

Hierarchical Models and Mixture Distributions

Covariance and Correlation

Multivariate Distributions

Inequalities

Numerical Inequalities

Functional Inequalities

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