Probability and statistical inference /
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| Author / Creator: | Hogg, Robert V. |
|---|---|
| Imprint: | New York : Macmillan, c1977. |
| Description: | ix, 450 p. : ill. ; 24 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/149006 |
Table of Contents:
- 1. 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
- 2. Probability
- Properties of Probability
- Methods of Enumeration
- Conditional Probability
- Independent Events
- Bayes' Theorem
- 3. Discrete Distributions
- Random Variables of the Discrete Type
- Mathematical Expectation
- Bernoulli Trials and the Binomial Distribution
- The Moment-Generating Function
- The Poisson Distribution
- 4. 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
- 5. Multivariable Distributions
- Distributions of Two Random Variables
- The Correlation Coefficient
- Conditional Distributions
- The Bivariate Normal Distribution
- Transformations of Random Variables
- Order Statistics
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. Quality Improvement through Statistical Methods
- Statistical Quality Control
- General Factorial and 2k Factorial Designs
- More on Design of Experiments
- Epilogue
- Appendix A. Review of Selected Mathematical Techniques
- Algebra of Sets
- Mathematical Tools for the Hypergeometric Distribution
- Limits
- Infinite Series
- Integration
- Multivariate Calculus
- Appendix B. References
- Appendix C. Tables
- Appendix D. Answers to Odd-Numbered Exercises
- Index
