概率论
2009-5
世界图书出版公司
皮特曼
559
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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．
作者：(美国)皮特曼(Pitman.J.)
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。
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请注意，这是原版书，不是翻译中文版，买书的同学需要特别注意！！！
十分适合那些数学基础薄弱但是需要FRM的各位.考CFA的同志们可以考虑买计量经济学基础.
伯克利的超级大牛教授jim pitman的书...基本是美国各大学（CIT MIT UCB......）中级概率论必用书.