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Preface | |
Introduction | |
What Is Probability? | |
What Is Statistics? | |
Probability | |
Introduction | |
Axioms of Probability | |
Counting Techniques | |
Conditional Probability and Independence | |
Probability Calculations Exercises | |
Random Variables And Probability Distributions | |
Definitions of a Random Variable | |
Discrete Random Variables | |
Univariate Continuous Random Variables | |
Bivariate Continuous Random Variables | |
Distribution Function | |
Change of Variables | |
Joint Distribution of Discrete and Continuous Random Variables Exercises | |
Moments | |
Expected Value | |
Higher Moments | |
Covariance and Correlation | |
Conditional Mean and Variance Exercises | |
Binomial And Normal Random Variables | |
Binomial Random Variables | |
Normal Random Variables | |
Bivariate Normal Random Variables | |
Multivariate Normal Random Variables Exercises | |
Large Sample Theory | |
Modes of Convergence | |
Laws of Large Numbers and Central Limit Theorems | |
Normal Approximation of Binomial | |
Examples Exercises | |
Point Estimation | |
What Is an Estimator? | |
Properties of Estimators | |
Maximum Likelihood Estimator: Definition and Computation | |
Maximum Likelihood Estimator: Properties Exercises | |
Interval Estimation | |
Introduction | |
Confidence Intervals | |
Bayesian Method Exercises | |
Tests Of Hypotheses | |
Introduction | |
Type I and Type II Errors | |
Neyman-Pearson Lemma | |
Simple against Composite | |
Composite against Composite | |
Examples of Hypothesis Tests | |
Testing about a Vector Parameter Exercises | |
Bivariate Regression Model | |
Introduction | |
Least Squares Estimators | |
Tests of Hypotheses Exercises | |
Elements Of Matrix Analysis | |
Definition of Basic Terms | |
Matrix Operations | |
Determinants and Inverses | |
Simultaneous Linear Equations | |
Properties of the Symmetric Matrix Exercises | |
Multiple Regression Model | |
Introduction | |
Least Squares Estimators | |
Constrained Least Squares Estimators | |
Tests of Hypotheses | |
Selection of Regressors Exercises | |
Econometric Models | |
Table of Contents provided by Publisher. All Rights Reserved. |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.