概率论（第1卷）

出版时间：2000-12  出版社：世界图书出版公司  作者：M.Loeve  页数：425  
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内容概要

这是一套公认的概率论经典教科书，可供高年级大学生和研究生使用，同时也是概率论和统计学方面专家、学者经常使用的参考书。在这套书的第4版中增加了距离空间测定、随机游动、布朗运动及不变原理，后两部尤为精彩。

书籍目录

INTRODUCTORY PART: ELEMENTARY PROBABILITY THEORY SECTION   Ⅰ.INTUITIVE BACKGROUND     1.Events     2.Random events and trials     3.Random variables   Ⅱ.AXIOMS； INDEPENDENCE AND THE BERNOULLI CASE     1.Axioms of the finite case     2.Simple random variables     3.Independence     4.Bernoulli case     5.Axioms for the countable case     6.Elementary random variables     7.Need for nonelementary random variables   Ⅲ.DEPENDENCE AND CHAINS     1.Conditional probabilities     2.Asymptotically Bernoullian case     3.Recurrence     4.Chain dependence     5.Types of states and asymptotic behavior     6.Motion of the system    7.Stationary chainsCOMLEMENTS AND DETAILSPART ONE:NOTIONS OF MEASURE THEORY  CHAPTERⅠ:SETS,SPACES,AND MEASURES    1.SETS,CLASSES,AND FUNCTIONS    2.TOPOLOGICAL SPACES    3.ADDITIVE SET FUNCTIONS    4.CONSTRUCTION OF MEASURES ONFIELDS  CHAPTERⅡ:MEASURABLE FUNCTIONS AND INTEGRATION    5.MEASURABLE FUNCTIONS    6.MEASURE AND CONVERGENCES    7.INTEGRATION    8.INDEFINITE INTEGRALS;ITERATED INTEGRALSPART TWO:GENERAL CONCEPTS AND TOOLS OF PROBABILITY THEORY  CHAPTERⅢ:PROBABILITY CONCEPTS    9.PROBABILITY SPACES AND RANDOM VARIABLES    10.PROBABILITY DISTRIBUTIONS  CHAPTERⅣ:DISTRIBUTION FUNCTIONS AND CHARACTERISTIC FUNCTIONNS    11.DISTRIBUTION FUNCTIONS    12.CONVERGENCE OF PROBABILITIES ON METRIC SPACES    13.CHARACTERISTIC FUNCTIONS AND DISTRIBUTION FUNCTIONS    14.PROBABILITY LAWS AND TYPES OF LAWS    15.NONNEGATIVE-DEFINITENESS;REGULARITYPART THREE:INDEPENDENCE  CHAPTERⅤ:SUMS OF INDEPENDENT RANDOM VARIABLES    16.CONCEPT OF INDEPENDENCE    17.CONVERGENCE AND STABILITY OF SUMS;CENTERING AT    18.CONVERGENCE AND SABILTIY OF SUMS;CENTERING AT    19.EXPONENTIAL BOUNDS AND NORMED SUMS  CHAPTERⅥ:ENTRAL LIMIT PROBLEM    20.DEGENERATE,NORMAL AND POISSON TYPES    21.EVOLUTION OF THE PROBLEM    22.CENTRAL LIMIT PROBLEM;THE CASE OF BOUNDED VARIANCES    23.SOLUTION OF THE ENTRAL LIMIT PROBLEM    24.NORMED SUMS  CHAPTERⅦ:INDEPENDENT IDENTICALLY DISTRIBUTED SUMMANDS    25.REGULAR VARIATION AND DOMAINS OF ATTRACTION    26.RANDOM WALKBIBLIOGRAPHYINDEX

用户评论 (总计8条)

•   概率论经典著作之一，值得好好一读。
•   老婆非常喜欢这本教材，虽说是英文版，但却很实用，比国内的一些常用教材内容更好。
•   概率的必备书单之一。非常满意，买书当然选择当当网。
•   非常满意的书，有人说很难懂，值得好好研读啊！
•   相当不错，内容很全，质量很好
•   很系统，很丰富
•   觉得这本书内容挺不错，但版面设计不敢苟同。
•   影印版质量比较次！但是书中的内容值得一读，特别是第五部分，写的及其精彩！