| 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，后两部分尤为精彩。 |
| 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 chains COMLEMENTS AND DETAILS PART 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 |
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