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Table of Contents
|1. PROBABILITY THEORY|
|Conditional Probability and Independence|
|Density and Mass Functions|
|2. TRANSFORMATION AND EXPECTATIONS|
|Distribution of Functions of a Random Variable|
|Moments and Moment Generating Functions|
|Differentiating Under an Integral Sign|
|3. COMMON FAMILIES OF DISTRIBUTIONS|
|Locations and Scale Families|
|Inequalities and Identities|
|4. MULTIPLE RANDOM VARIABLES|
|Joint and Marginal Distributions|
|Conditional Distributions and Independence|
|Hierarchical Models and Mixture Distributions|
|Covariance and Correlation|
|5. PROPERTIES OF A RANDOM SAMPLE|
|Basic Concepts of Random Samples|
|Sums of Random Variables from a Random Sample|
|Sampling for the Normal Distribution|
|Generating a Random Sample|
|6. PRINCIPLES OF DATA REDUCTION|
|The Sufficiency Principle|
|The Likelihood Principle|
|The Equivariance Principle|
|7. POINT EXTIMATION|
|Methods of Finding Estimators|
|Methods of Evaluating Estimators|
|8. HYPOTHESIS TESTING|
|Methods of Finding Tests|
|Methods of Evaluating Test|
|9. INTERVAL ESTIMATION|
|Methods of Finding Interval Estimators|
|Methods of Evaluating Interval Estimators|
|10. ASYMPTOTIC EVALUATIONS|
|11. ANALYSIS OF VARIANCE AND REGRESSION|
|One-way Analysis of Variance|
|Simple Linear Regression|
|12. REGRESSION MODELS|
|Regression with Errors in Variables|