概率论 大中专理科计算机
大中专理科计算机 新华书店全新正版书籍
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作者作者
出版社浙江大学出版社
ISBN9787308198790
出版时间2020-06
版次1
装帧平装
开本16开
页数268页
字数503千字
定价50元
货号xhwx_1202117928
上书时间2021-12-10
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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 aomatic 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 independence of random variables
2.5 conditional distribution
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 statistics
chapter 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 definition
3.1.4 expectations of functions of random variables
3.1.5 basic properties of expectations
3.1.6 conditional expectation
3.2 variances， covariances and correlation coefficients
3.2.1 variances
3.2.2 covariances
3.2.3 correlation coefficients
3.2.4 moments
3.3 characteristic functions
3.3.1 definitions
3.3.2 properties
3.3.3 inverse formula and uniqueness theorem
3.3.4 additivity of distribution functions
3.3.5 multivariate characteristic functions
3.4 multivariate normal distributions
3.4.1 density functions and characteristic functions
3.4.2 properties
chapter 4 probability limit theorems
4.1 convergence in distribution and central limit theorems
4.1.1 weak convergence of distribution functions
4.1.2 central limit theorems
4.2 convergence in probability and weak law of large numbers
4.2.1 convergence in probability
4.2.2 weak law of large numbers
4.3 almost sure convergence and strong laws of large numbers
4.3.1 almost sure convergence
4.3.2 strong laws of large numbers
bibliography
appendix a distribution of typical random variables
a.1 distribution of typical random variables
a.2 distributions of typical random variables
appendix b tables
b.1 table of binomial probabilities
b.2 table of random digits
b.3 table of poisson probabilities
b.4 table of standard normal distribution function
b.5 table of x2 distribution
b.6 table of t distribution
内容简介：
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、事件及其概率；二、变量和分布函数；三、数字特征；四、极限定理。通过学，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，也为学数理统计等后续课程奠定基础。
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