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《概率论与数理统计初步(高等学校十三五规划教程)(英文版)》

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目录Chapter 1 Classical Probability 1.1 Sample Space 1.2 Event 1.3 Counting Sample Points1.3.1 Multiplication Rule1.3.2 Permutations and Combinations 1.4 The Concept of Probability 1.5 The Axioms of Probability 1.6 Some Element Properties on Probability 1.7 Assignment of Probabilities 1.8 Calculating Probabilities for Unions and Complements ... 1.9 Conditional Probability 1.10 Independence 1.11 The Law of Total Probability 1.12 Bayes Rule ExercisesChapter 2 Discrete Random Variables 2.1 Random Variables 2.2 Discrete Probability Distribution 2.3 Distribution Functions for Random Variables 2.4 Expected Values 2.5 Functions of a Random Variable 2.6 Variance and Standard Deviation ExercisesChapter 3 Continuous Random Variables 3.1 Distribution Functions for Continuous Random Variables 3.2 Expected Values 3.3 Variance 3.4 Properties of Expected Values and Variances ExercisesChapter 4 Examples of Random Variables 4.1 Binomial Distribution 4.2 Properties of Binomial Distributions 4.3 Poisson Distributions 4.4 The Normal Distribution 4.5 Relationships Between Binomial and Normal Distributions ExercisesChapter 5 Descriptive Statistics 5.1 Measures of Central Tendency 5.2 Measures of Dispersion 5.3 Stem-andLeaf Plot ExercisesChapter 6 Sampling Theory 6.1 Sampling 6.2 Random Samples, Random Numbers 6.3 Population Parameters 6.4 Sample Statistics 6.5 Sampling Distributions 6.6 The Sample Mean 6.7 Sampling Distribution of Means 6.8 Sampling Distribution of Proportions 6.9 Sampling Distribution of Differences and Sums 6.10 The Sample Variance ExercisesChapter 7 Estimation 7.1 Unbiased Estimates and Efficient Estimates 7.2 Point Estimates and Interval Estimates 7.3 Method of Moments 7.4 Maximum Likelihood Estimators 7.5 Confidence Interval Estimates of Population Parameters ExercisesChapter 8 Hypothesis Test 8.1 Statistical Hypothesis 8.2 Tests of Hypothesis 8.3 Type I and Type 1] Errors and Level of Significance 8.4 Simple and Composite Hypotheses 8.5 Testing Hypotheses about the Mean of a Normal Distribution with Known Variance 8.6 P Value ExercisesBibliography内容推荐本书由一带一路沿线国家派来的交换学生所开设的概率论与数理统计课程所编写的讲义改编而成，采用全英文，内容分为8章，前四章介绍了概率论的基本原理，第五、六章介绍了描述统计学的基础知识，第七、八章介绍了在实际生活中相关问题的解决方案。

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