本系列丛书中，有Finney、Weir等编和《托马斯微积分》（第10版，Pearson），其特色可用“呈传统特色、富革新精神&rdquo
- 目录
- PREFACE
- CHAPTER 1 Probability and Distributions
- 1.1 Introduction
- 1.2 Set Theory
- 1.3 The Probability Set Function
- 1.4 Conditional Probability and Independence
- 1.5 Random Variables of the Discrete Type
- 1.6 Random Variables of the Continuous Type
- 1.7 Properties of the Distribution Function
- 1.8 Expectation of a Random Variable
- 1.9 Some Special Expectations
- l.10 Chebyshev's Inequality
- CHAPTER 2 Multivariate Distributions
- 2.1 Distributions of Two Random Variables
- 2.2 Conditional Distributions and Expectations
- 2.3 The Correlation Coefficient
- 2.4 Independent Random Variables
- 2.5 Extension to Several Random Variables
- CHAPTER 3 Some Special Distributions
- 3.1 The Binomial and Related Distributions
- 3.2 The Poisson Distribution
- 3.3 The Gamma and Chi-Square Distributions
- 3.4 The Normal Distribution
- 3.5 The Bivariate Normal Distribution
- CHAPTER 4 Distributions of Functions of Random Variables
- 4.1 Sampling Theory
- 4.2 Transformations of Variables of the Discrete Type
- 4.3 Transformations of Variables of the Continuous Type
- 4.4 The Beta,t,and F Distributions
- 4.5 Extensions of the Change-of-Variable Technique
- 4.6 Distributions of Order Statistics
- 4.7 The Moment-Generating-Function Technique
- 4.8 The Distributions of X and nS2/Q2
- 4.9 Expectations of Functions of Random Variables
- *4.10 The Multivariate Normal Distribution
- CHAPTER 5Limiting Distributions
- 5.1 Convergence in Distribution
- 5.2 Convergence in Probability
- 5.3 Limiting Moment-Generating Functions
- 5.4 The Central Limit Theorem
- 5.5 Some Theorems on Limiting Distributions
- CHAPTER 6 Introduction to Statistical Inference
- 6.1 Point Estimation
- 6.2 Confidence Intervals for Means
- 6.3 Confidence Intervals for Differences of Means
- 6.4 Tests of Statistical Hypotheses
- 6.5 Additional Comments About Statistical Tests
- 6.6 Chi-Square Tests
- CHAPTER 7Sufficient Statistics
- 7.1 Measures of Quality of Estimators
- 7.2 A Sufficient Statistic for a Parameter
- 7.3 Properties of a Sufficient Statistic
- 7.4 Completeness and Uniqueness
- 7.5 The Exponential Class of Probability Density Functions
- 7.6 Functions of a Parameter
- 7.7 The Case of Several Parameters
- 7.8 Minimal Sufficient and Ancillary Statistics
- 7.9 Sufficiency,Completeness,and Independence
- CHAPTER 8 More About Estimation
- 8.1 Bayesian Estimation
- 8.2 Fisher Information and the Rao-Cramé Inequality
- 8.3 Limiting Distributions of Maximum Likelihood Estimators
- 8.4 Robust M-Estimation
- CHAPTER 9 Theory of Statistical Tests
- 9.1 Certain Best Tests
- 9.2 Uniformly Most Powerful Tests
- 9.3 Likelihood Ratio Tests
- 9.4 The Sequential Probability Ratio Test
- 9.5 Minimax,Bayesian,and Classification Procedures
- CHAPTER 10 Inferences About Normal Models
- 10.1 The Distributions of Certain Quadratic Forms
- 10.2 A Test of the Equality of Several Means
- 10.3 Noncentral X2 and Noncentral F
- 10.4 Multiple Comparisons
- 10.5 The Analysis of Variance
- 10.6 A Regression Problem
- 10.7 A Test of Independence
- 10.8 The Distributions of Certain Quadratic Forms
- 10.9 The Independence of Certain Quadratic Forms
- CHAPTER 11 Nonparametric Methods
- 11.1 Confidence Intervals for Distribution Quantiles
- 11.2 Tolerance Limits for Distributions
- 11.3 The Sign Test
- 11.4 A Test of Wilcoxon
- 11.5 The Equality of Two Distributions
- 11.6 The Mann-Whitney-Wilcoxon Test
- 11.7 Distributions Under Alternative Hypotheses
- 11.8 Linear Rank Statistics
- 11.9 Adaptive Nonparametric Methods
- APPENDIX A
- APPENDIX B
- APPENDIX C
- Answers to Selected Exercises
- INDEX
