概率论 [Probability Theory] epub pdf mobi txt 电子书 下载 2025

概率论 [Probability Theory] epub pdf mobi txt 电子书 下载 2025

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概率论 [Probability Theory] epub pdf mobi txt 电子书 下载 2025

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内容简介

　　《概率论》以英文的形式介绍了高等学校概率论方面的知识。The subject matter of probability theory is the mathematical analysis of random events， that is, of those empirical phenomena which do not have deterministic regularity but possess some statistical regularity.

内页插图

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 classical 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 events

chapter 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 conditional distributions and independence
2.4.1 conditional distributions
2.4.2 i ndependence of random variables
2.5 functions of random variables
2.5.1 functions of discrete random variables
2.5.2 functions of continuous random variables
2.5.3 functions of continuous random vectors
2.5.4 transforms of random vectors
2.5.5 important distributions in statistics

chapter 3 numerical characteristics and characteristic functions
3.1 mathematical expectations
3.1.1 expectations for discrete random variables
3.1.2 expectations of continuous random variables
chapter 4 probability limit theorems
appendix a distribution of typical random variables
appendix b tables
index

前言/序言

The subject matter of probability theory is the mathematical analysis of random events

概率论 [Probability Theory] epub pdf mobi txt 电子书 下载 2025

概率论 [Probability Theory] 下载 epub mobi pdf txt 电子书 2025

评分☆☆☆☆☆

(当P(B)不等于零时)。若B给之A的条件机率和A的机率相同时，则称A和B为独

评分☆☆☆☆☆

概率

评分☆☆☆☆☆

(当P(B)不等于零时)。若B给之A的条件机率和A的机率相同时，则称A和B为独

评分☆☆☆☆☆

数学家和精算师认为机率是在0至1之间之闭区间的数字，指定给一发生与失败是随机的“事件”。机率P(A)根据机率公理来指定给事件A。一事件A在一事件B确定发生后会发生的机率称为B给之A的条件机率；其数值为

评分☆☆☆☆☆

立事件。且A和B的此一关系为对称的，这可以由一同价叙述：“，当A和B为独立事件时。”中看出。机率论中的两个重要概念为随机变量和随机变量之机率分布这两种概念。 作为数学统计基础的概率论的创始人分别是法国数学家帕斯卡和费马。

评分☆☆☆☆☆

数学家和精算师认为机率是在0至1之间之闭区间的数字，指定给一发生与失败是随机的“事件”。机率P(A)根据机率公理来指定给事件A。一事件A在一事件B确定发生后会发生的机率称为B给之A的条件机率；其数值为

评分☆☆☆☆☆

评分☆☆☆☆☆

(当P(B)不等于零时)。若B给之A的条件机率和A的机率相同时，则称A和B为独

评分☆☆☆☆☆

概率论

类似图书 点击查看全场最低价