Probability and Statistical Inference
ISBN: 9780131464131 | 0131464132
Edition: 8thFormat: Hardcover w/CD
Publisher: Prentice Hall
Pub. Date: 1/1/2010
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This applied introduction to the mathematics of probability and statistics e mphasizes the existence of variation in almost every process, and how the study of probability and statistics helps us understand this variability. Designed for students with a background in calculus, it reinforces basic mathematical concepts with numerous real-world examples and applications to illustrate the relevance of key concepts.
| Empirical and Probability Distributions | |
| Basic Concepts | |
| The Mean, Variance, and Standard Deviation | |
| Continuous-Type Data | |
| Exploratory Data Analysis | |
| Graphical Comparisons of Data Sets | |
| Time Sequences | |
| Probability Density and Mass Functions | |
| Probability | |
| Properties of Probability | |
| Met... MORE | |
| Conditional Probability | |
| Independent Events | |
| Bayes' Theorem | |
| Discrete Distributions | |
| Random Variables of the Discrete Type | |
| Mathematical Expectation | |
| Bernoulli Trials and the Binomial Distribution | |
| The Moment-Generating Function | |
| The Poisson Distribution | |
| Continuous Distributions | |
| Random Variables of the Continuous Type | |
| The Uniform and Exponential Distributions | |
| The Gamma and Chi-Square Distributions | |
| The Normal Distribution | |
| Distributions of Functions of a Random Variable | |
| Mixed Distributions and Censoring | |
| Multivariable Distributions | |
| Distributions of Two Random Variables | |
| The Correlation Coefficient | |
| Conditional Distributions | |
| The Bivariate Normal Distribution | |
| Transformations of Random Variables | |
| Order Statistics | |
| Sampling Distribution Theory | |
| Independent Random Variables | |
| Distributions of Sums of Independent Random Variables | |
| Random Functions Associated with Normal Distributions | |
| The Central Limit Theorem | |
| Approximations for Discrete Distributions | |
| The t and F Distributions | |
| Limiting Moment-Generating Functions | |
| Chebyshev's Inequality and Convergence in Probability | |
| Importance of Understanding Variability | |
| Estimation | |
| Point Estimation | |
| Confidence Intervals for Means | |
| Confidence Intervals for Difference of Two Means | |
| Confidence Intervals for Variances | |
| Confidence Intervals for Proportions | |
| Sample Size | |
| Distribution-Free Confidence Intervals for Percentiles | |
| A Simple Regression Problem | |
| More Regression | |
| Tests of Statistical Hypotheses | |
| Tests about Proportions | |
| Tests about One Mean and One Variance | |
| Tests of the Equality of Two Normal Distributions | |
| Chi-Square Goodness of Fit Test | |
| Contingency Tables | |
| Tests of the Equality of Several Means | |
| Two-Factor Analysis of Variance | |
| Tests Concerning Regression and Correlation | |
| The Wilcoxon Tests | |
| Kolmogorov-Smirnov Goodness of Fit Test | |
| Resampling Methods | |
| Run Test and Test for Randomness | |
| Theory of Statistical Inference | |
| Sufficient Statistics | |
| Power of a Statistical Test | |
| Best Critical Regions | |
| Likelihood Ratio Tests | |
| Bayesian Estimation | |
| Asymptotic Distributions of Maximum Likelihood Estimators | |
| Quality Improvement through Statistical Methods | |
| Statistical Quality Control | |
| General Factorial and 2k Factorial Designs | |
| More on Design of Experiments | |
| Epilogue | |
| Review of Selected Mathematical Techniques | |
| Algebra of Sets | |
| Mathematical Tools for the Hypergeometric Distribution | |
| Limits | |
| Infinite Series | |
| Integration | |
| Multivariate Calculus | |
| References | |
| Tables | |
| Answers to Odd-Numbered Exercises | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
