| |
| |
| Preface | |
| |
| |
| Prologue | |
| |
| |
| |
| Probability | |
| |
| |
| |
| Basic Concepts | |
| |
| |
| |
| Properties of Probability | |
| |
| |
| |
| Methods of Enumeration | |
| |
| |
| |
| Conditional Probability | |
| |
| |
| |
| Independent Events | |
| |
| |
| |
| Bayes's Theorem | |
| |
| |
| |
| Discrete Distributions | |
| |
| |
| |
| Random Variables of the Discrete Type | |
| |
| |
| |
| Mathematical Expectation | |
| |
| |
| |
| The Mean, Variance, and Standard Deviation | |
| |
| |
| |
| Bernoulli Trials and the Binomial Distribution | |
| |
| |
| |
| The Moment-Generating Function | |
| |
| |
| |
| The Poisson Distribution | |
| |
| |
| |
| Continuous Distributions | |
| |
| |
| |
| Continuous-Type Data | |
| |
| |
| |
| Exploratory Data Analysis | |
| |
| |
| |
| Random Variables of the Continuous Type | |
| |
| |
| |
| The Uniform and Exponential Distributions | |
| |
| |
| |
| The Gamma and Chi-Square Distributions | |
| |
| |
| |
| The Normal Distribution | |
| |
| |
| |
| Additional Models | |
| |
| |
| |
| Bivariate Distributions | |
| |
| |
| |
| Distributions of Two Random Variables | |
| |
| |
| |
| The Correlation Coefficient | |
| |
| |
| |
| Conditional Distributions | |
| |
| |
| |
| The Bivariate Normal Distribution | |
| |
| |
| |
| Distributions of Functions of Random Variables | |
| |
| |
| |
| Functions of One Random Variable | |
| |
| |
| |
| Transformations of Two Random Variables | |
| |
| |
| |
| Several Independent Random Variables | |
| |
| |
| |
| The Moment-Generating Function Technique | |
| |
| |
| |
| Random Functions Associated with Normal Distributions | |
| |
| |
| |
| The Central Limit Theorem | |
| |
| |
| |
| Approximations for Discrete Distributions | |
| |
| |
| |
| Estimation | |
| |
| |
| |
| Point Estimation | |
| |
| |
| |
| Confidence Intervals for Means | |
| |
| |
| |
| Confidence Intervals for Difference of Two Means | |
| |
| |
| |
| Confidence Intervals for Variances | |
| |
| |
| |
| Confidence Intervals for Proportions | |
| |
| |
| |
| Sample Size | |
| |
| |
| |
| A Simple Regression Problem | |
| |
| |
| |
| More Regression | |
| |
| |
| |
| Tests of Statistical Hypotheses | |
| |
| |
| |
| Tests about Proportions | |
| |
| |
| |
| Tests about One Mean | |
| |
| |
| |
| Tests of the Equality of Two Means | |
| |
| |
| |
| Tests for Variances | |
| |
| |
| |
| One-Factor Analysis of Variance | |
| |
| |
| |
| Two-Factor Analysis of Variance | |
| |
| |
| |
| Tests Concerning Regression and Correlation | |
| |
| |
| |
| Nonparametric Methods | |
| |
| |
| |
| Chi-Square Goodness of Fit Tests | |
| |
| |
| |
| Contingency Tables | |
| |
| |
| |
| Order Statistics | |
| |
| |
| |
| Distribution-Free Confidence Intervals for Percentiles | |
| |
| |
| |
| The Wilcoxon Tests | |
| |
| |
| |
| Run Test and Test for Randomness | |
| |
| |
| |
| Kolmogorov-Smirnov Goodness of Fit Test | |