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概率论基础教程 第8版 英文版PDF|Epub|txt|kindle电子书版本网盘下载
- （美）罗斯著 著
- 出版社： 北京：机械工业出版社
- ISBN：9787111482772
- 出版时间：2014
- 标注页数：465页
- 文件大小：48MB
- 文件页数：474页
- 主题词：概率论－教材－英文
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图书目录
1 COMBINATORIAL ANALYSIS1
1.1 Introduction1
1.2 The Basic Principle of Counting2
1.3 Permutations3
1.4 Combinations5
1.5 Multinomial Coefficients9
1.6 The Number of Integer Solutions of Equations12
2 AXIOMS OF PROBABILITY21
2.1 Introduction21
2.2 Sample Space and Events21
2.3 Axioms of Probability25
2.4 Some Simple Propositions28
2.5 Sample Spaces Having Equally Likely Outcomes32
2.6 Probability as a Continuous Set Function42
2.7 Probability as a Measure of Belief46
3 CONDITIONAL PROBABILITY AND INDEPENDENCE56
3.1 Introduction56
3.2 Conditional Probabilities56
3.3 Bayes's Formula62
3.4 Independent Events75
3.5 P（·｜F）Is a Probability89
4 RANDOM VARIABLES112
4.1 Random Variables112
4.2 Discrete Random Variables116
4.3 Expected Value119
4.4 Expectation of a Function of a Random Variable121
4.5 Variance125
4.6 The Bernoulli and Binomial Random Variables127
4.7 The Poisson Random Variable135
4.8 Other Discrete Probability Distributions147
4.9 Expected Value of Sums of Random Variables155
4.10 Properties of the Cumulative Distribution Function159
5 CONTINUOUS RANDOM VARIABLES176
5.1 Introduction176
5.2 Expectation and Variance of Continuous Random Variables179
5.3 The Uniform Random Variable184
5.4 Normal Random Variables187
5.5 Exponential Random Variables197
5.6 Other Continuous Distributions203
5.7 The Distribution of a Function of a Random Variable208
6 JOINTLY DISTRIBUTED RANDOM VARIABLES220
6.1 Joint Distribution Functions220
6.2 Independent Random Variables228
6.3 Sums of Independent Random Variables239
6.4 Conditional Distributions：Discrete Case248
6.5 Conditional Distributions：Continuous Case250
6.6 Order Statistics256
6.7 Joint Probability Distribution of Functions of Random Variables260
6.8 Exchangeable Random Variables267
7 PROPERTIES OF EXPECTATION280
7.1 Introduction280
7.2 Expectation of Sums of Random Variables281
7.3 Moments of the Number of Events that Occur298
7.4 Covariance,Variance of Sums.and Correlations304
7.5 Conditional Expectation313
7.6 Conditional Expectation and Prediction330
7.7 Moment Generating Functions334
7.8 Additional Properties of Normal Random Variables345
7.9 General Definition of Expectation349
8 LIMIT THEOREMS367
8.1 Introduction367
8.2 Chebyshev's Inequality and the Weak Law of Large Numbers367
8.3 The Central Limit Theorem370
8.4 The Strong Law of Large Numbers378
8.5 Other Inequalities382
8.6 Bounding the Error Probability When Approximating a Sum of Independent Bernoulli Random Variables by a Poisson Random Variable388
9 ADDITIONAL TOPICS IN PROBABILITY395
9.1 The Poisson Process395
9.2 Markov Chains397
9.3 Surprise,Uncertainty,and Entropy402
9.4 Coding Theory and Entropy405
10 SIMULATION415
10.1 Introduction415
10.2 General Techniques for Simulating Continuous Random Variables417
10.3 Simulating from Discrete Distributions424
10.4 Variance Reduction Techniques426
Answers to Selected Problems433
Solutions to Self-Test Problems and Exercises435
Index465