概率论

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作者：(美国)皮特曼(Pitman.J.)

书籍目录

Preface1 Introduction　1.1  Equally Likely Outcomes　1.2  Interpretations　1.3  Distributions　1.4  Conditional Probability and Independence　1.5  Bayes' Rule　1.6  Sequences of Events  　Summary  　Review Exercises2 Repeated Trials and Sampling　2.1  The Binomial Distribution　2.2  Normal Approximation: Method　2.3  Normal Approximation: Derivation (Optional)　2.4  Poisson Approximation　2.5  Random Sampling　Summary　Review Exercises3 Random Variables　3.1  Introduction　3.2  Expectation　3.3  Standard Deviation and Normal Approximation 　3.4  Discrete Distributions　3.5  The Poisson Distribution　3.6  Symmetry (Optional)  　Summary　Review Exercises4　Continuous Distributions　4.1  Probability Densities　4.2  Exponential and Gamma Distributions　4.3 Hazard Rates (Optional)　4.4  Change of Variable　4.5  Cumulative Distribution Functions　4.6 Order Statistics (Optional)　Summary　Review Exercises5　Continuous Joint Distributions　5.1  Uniform Distributions　5.2  Densities　5.3  Independent Normal Variables　5.4 Operations (Optional)　Summary　Review Exercises6 DependenceIndex

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《概率论(英文版)》是由世界图书出版公司出版的。

作者简介

《概率论(英文版)》讲述了：This is a text tor a one-quaaer or one-semester course in probability．aimed at stu．　dents who have done a year of calculus．The book is organized so a student can learn　the fundamental ideas of probability from the first three chapters without reliance　 on calculus．Later chapters develop these ideas further using calculus tools．　The book contains more than the usual number of examples worked out in detail．It　is not possible to go through all these examples in class．Rather,I suggest that you　 deal quickly with the main points of theory，then spend class time on problems from　the exercises，or your own favorite problems．The most valuable thing for students　to learn from a course like this iS how tQ pick up a probability problem in a new　 setting and relate it to the standard bodv of theory．The more they see this happen in class，and the more they do it themselves in exercises．the better．　

　　The style of the text is deliberately informal My experience is that students learn　more from intuitive explanations，diagrams，and examples than they do from the0．rems and proofs．So the emphasis iS on problem solving rather than theory．

Order of Topics．The basic roles of probability all appear in Chapter l．Intuition　for probabilities is developed using Venn and tree diagrams．Only finite additivity of　probability iS treated in this chapter．Discussion of countable additivity iS postponed　to Section 3．4．Emphasis in Chapter l is OD the concept of a robability distribution　and elementary applications of the addition and multiplication rules．Combinatorics　appear Via study of the binomial and hypergeometric distributions in Chapter 2．

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