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概率论与数理统计 英文PDF|Epub|txt|kindle电子书版本网盘下载
- 孔令臣，王立春编著 著
- 出版社： 北京：北京交通大学出版社
- ISBN：9787512120242
- 出版时间：2015
- 标注页数：156页
- 文件大小：21MB
- 文件页数：163页
- 主题词：概率论－高等学校－教材；数理统计－高等学校－教材
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图书目录
Chapter 1 Probability1
1.1 Introduction1
1.2 Sample Space and Events1
1.3 Axioms of Probability5
1.4 Some Simple Propositions6
1.5 Sample Spaces Having Equally Likely Outcomes9
1.6 Conditional Probabilities10
1.7 Bayes's Formula13
1.8 Independent Events17
Exercise 120
Chapter 2 Discrete Random Variables and Probability Distributions22
2.1 Random Variables22
2.2 Probability Distributions for Discrete Random Variables24
2.3 The Binomial and Poisson Probability Distributions29
Exercise 234
Chapter 3 Continuous Random Variables and Probability Distributions37
3.1 Probability Density Functions37
3.2 Cumulative Distribution Functions38
3.3 The Normal Distributions41
3.4 The Exponential and Gamma Distributions44
3.5 Other Continuous Distributions48
Exercise 348
Chapter 4 Joint Probability Distributions51
4.1 Joint Distribution Functions51
4.2 Marginal Distribution Functions54
4.3 Conditional Distributions57
4.4 Independent Random Variables60
4.5 Sums of Independent Random Variables63
4.6 Joint Probability Distribution of Function of Random Variables66
Exercise 467
Chapter 5 Mathematical Expectation70
5.1 Expectation of a Random Variable70
5.2 Variance and Variance of sums75
5.3 Covariance and Correlations78
5.4 Conditional Expectation81
5.5 Chebyshev's Theorem84
Exercise 586
Chapter 6 Limit Theorems89
6.1 The Weak Law of Large Numbers89
6.2 The Central Limit Theorem91
Exercise 694
Chapter 7 Descriptive Statistics96
7.1 Populations and Samples96
7.2 Measures of Center and Variability98
7.3 Sampling Distributions100
7.4 Chi-squared Distribution,t-Distribution and F-Distribution107
Exercise 7115
Chapter 8 Estimation118
8.1 Point Estimation119
8.2 The Particular Properties of Estimators123
8.3 Interval Estimation130
Exercise 8138
Appendix140
Reference156