Basic Probability Theory

Basic Probability Theory

简介:

对概率和真实分析的更高级课程的介绍强调了概率思维方式,而不是度量理论概念。

面向高级本科生和研究生,其唯一的先决条件是微积分,这个介绍性的文本调查随机变量,条件概率和期望,特征函数,随机变量的无限序列,马尔可夫链和统计导论。一些问题的完整解决方案出现在本书的末尾。

本文以统计学为主要应用领域,对基本概念进行了回顾,对随机变量的调查,期望的性质,条件概率和期望以及特征函数进行了研究。随后的主题包括随机变量的无限序列,马尔可夫链和统计学介绍。一些问题的完整解决方案出现在本书的末尾。

英文简介:

This introduction to more advanced courses in probability and real analysis emphasizes the probabilistic way of thinking, rather than measure-theoretic concepts.

Geared toward advanced undergraduates and graduate students, its sole prerequisite is calculus, this introductory text surveys random variables, conditional probability and expectation, characteristic functions, infinite sequences of random variables, Markov chains, and an introduction to statistics. Complete solutions to some of the problems appear at the end of the book.

Taking statistics as its major field of application, the text opens with a review of basic concepts, advancing to surveys of random variables, the properties of expectation, conditional probability and expectation, and characteristic functions. Subsequent topics include infinite sequences of random variables, Markov chains, and an introduction to statistics. Complete solutions to some of the problems appear at the end of the book.

书名
Basic Probability Theory
译名
基本概率论
语言
英语
年份
2008
页数
350页
大小
20.21 MB
标签
  • 概率论
  • 数学
  • 下载
    pdf iconBasic Probability Theory.pdf
    密码
    65536

    最后更新:2025-04-12 23:54:37

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