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Probability Inequalities

  • Zhengyan Lin
  • Zhidong Bai

Table of contents

  1. Front Matter
    Pages i-vii
  2. Zhengyan Lin, Zhidong Bai
    Pages 1-8
  3. Zhengyan Lin, Zhidong Bai
    Pages 9-22
  4. Zhengyan Lin, Zhidong Bai
    Pages 23-28
  5. Zhengyan Lin, Zhidong Bai
    Pages 29-36
  6. Zhengyan Lin, Zhidong Bai
    Pages 37-50
  7. Zhengyan Lin, Zhidong Bai
    Pages 51-66
  8. Zhengyan Lin, Zhidong Bai
    Pages 67-83
  9. Zhengyan Lin, Zhidong Bai
    Pages 84-96
  10. Zhengyan Lin, Zhidong Bai
    Pages 97-129
  11. Zhengyan Lin, Zhidong Bai
    Pages 130-148
  12. Zhengyan Lin, Zhidong Bai
    Pages 149-157

About this book

Introduction

Inequality has become an essential tool in many areas of mathematical research, for example in probability and statistics where it is frequently used in the proofs. "Probability Inequalities" covers inequalities related with events, distribution functions, characteristic functions, moments and random variables (elements) and their sum. The book shall serve as a useful tool and reference for scientists in the areas of probability and statistics, and applied mathematics.

Prof. Zhengyan Lin is a fellow of the Institute of Mathematical Statistics and currently a professor at Zhejiang University, Hangzhou, China. He is the prize winner of National Natural Science Award of China in 1997. Prof. Zhidong Bai is a fellow of TWAS and the Institute of Mathematical Statistics; he is a professor at the National University of Singapore and Northeast Normal University, Changchun, China.

Keywords

Dependent random variables Distribution function Independent random variables Inequality Moment Probability SCIPRESS

Authors and affiliations

  • Zhengyan Lin
    • 1
  • Zhidong Bai
    • 2
    • 3
  1. 1.Department of MathematicsZhejiang UniversityChina
  2. 2.School of Mathematics and StatisticsNortheast Normal UniversityChina
  3. 3.Department of Statistics and Applied ProbabiltyNational University of SingaporeSingapore

Bibliographic information