Probability Theory:An Elementary Course
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作者林正炎\\苏中根\\张立新
出版社浙江大学出版社
ISBN9787308198790
出版时间2020-08
版次1
装帧平装
开本16开
纸张胶版纸
定价50元
上书时间2024-06-22
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基本信息
书名:Probability Theory:An Elementary Course
定价：50.00元
作者:林正炎\\苏中根\\张立新
出版社：浙江大学出版社
出版日期：2020-08-01
ISBN：9787308198790
字数：
页码：
版次：
装帧：平装
开本：16开
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内容提要
本书系浙江大学出版社 版的《概率论》教材的配套 英文教材，内容主要包括四 大部分：一、随机事件及其 概率；二、随机变量和分布 函数；三、数字特征；四、 极限定理。通过学习，使学 生掌握概率论的基本概念和 主要结果，了解定量地处理 随机现象的基本思想，了解 它在其它学科和实际部门的 广泛应用，也为学习数理统 计等后续课程奠定基础。
目录
Chapter 1 Events and Probabilities 1.1 Random phenomena and statistical regularity 1.1.1 Random phenomena 1.1.2 The statistical definition of probability 1.2 Classical probability models 1.2.1 Sample points and sample spaces 1.2.2 Discrete probability models 1.2.3 Geometric probability models 1.3 The axiomatic definition of probability 1.3.1 Events 1.3.2 Probability space 1.3.3 Continuity of probability measure 1.4 Conditional probability and independent events 1.4.1 Conditional probability 1.4.2 Total probability formula and Bayes' rule 1.4.3 Independent eventsChapter 2 Random Variables and Distribution Functions 2.1 Discrete random variables 2.1.1 The concept of random variables 2.1.2 Discrete random variables 2.2 Distribution functions and continuous random variables 2.2.1 Distribution functions 2.2.2 Continuous random variables and density functions 2.2.3 Typical continuous random variables 2.3 Random vectors 2.3.1 Discrete random vectors 2.3.2 Joint distribution functions 2.3.3 Continuous random vectors 2.4 Independence of random variables 2.5 Conditional distributio 2.5.1 Discrete case 2.5.2 Continuous case 2.5.3 The general case 2.5.4 The conditional probability given a random variable 2.6 Functions of random variables 2.6.1 Functions of discrete random variables 2.6.2 Functions of continuous random variables 2.6.3 Functions of continuous random vectors 2.6.4 Transforms of random vectors 2.6.5 Important distributions in statisticsChapter 3 Numerical Characteristics and Characteristic Functions 3.1 Mathematical expectations 3.1.1 Expectations of discrete random variables 3.1.2 Expectations of continuous random variables 3.1.3 General definitio 3.1.4 Expectations of functions of random variables 3.1.5 Basic properties of expectations 3.1.6 Conditional expectatio 3.2 Variances, covariances and correlation coefficients 3.2.1 Variances
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