概率论入门

　　《概率论入门(英文)》中附了丰富的参考资料和详细的术语表，使得《概率论入门(英文)》的可读性更加增大。《概率论入门(英文)》的重点讲述大量的技巧和观点，包括了深层次学习本科目的必备的核心知识，这些可以使学生能够学习特殊动力系统并获得学习这些系统大量信息。

Preface

I  Sets and Events

    1.1  Introduction

    1.2  Basic Set Theory

          1.2.1  Indicator
functions

    1.3  Limits of Sets  

    1.4  Monotone Sequences

    1.5  Set Operations and Closure

          1.5.1  Examples

    1.6  The a-field Generated by a Given Class
C

    1.7  Borel Sets on the Real Line  

    1.8  Comparing Borel Sets

    1.9  Exercises

2  Probability Spaces

    2.1  Basic Definitions and Properties

    2.2  More on Closure

          2.2.1  Dynkin’s
theorem

          2.2.2  Proof of Dynkin’s
theorem

    2.3  Two Constructions

    2.4  Constructions of Probability Spaces

          2.4.1  General
Construction of a Probability Model  

          2.4.2  Proof of the
Second Extension Theorem 

……