Bonferroni-Type Inequalities With Applications

by Galambos, Janos; Simonelli, Italo

• ISBN13: 9780387947761
• ISBN10: 0387947760
• Format: Hardcover
• Copyright: 1996-08-01
• Publisher: Springer Verlag

Summary

This book presents a large variety of extensions of the methods of inclusion and exclusion. Both methods for generating and methods for proof of such inequalities are discussed. The inequalities are utilized for finding asymptotic values and for limit theorems. Applications vary from classical probability estimates to modern extreme value theory and combinatorial counting to random subset selection. Applications are given in prime number theory, growth of digits in different algorithms, and in statistics such as estimates of confidence levels of simultaneous interval estimation. The prerequisites include the basic concepts of probability theory and familiarity with combinatorial arguments.

Table of Contents

General Introduction

The Method of Indicators

The Method of Polynomials

The Geometric Method

The Linear Programming Method

Multivariate Bonferroni-Type Inequalities

Classical Problems of Probability and Applications in Combinatorics

Applications in Number Theory

Statistical Applications

Extreme Value Theory

Miscellaneous Topics

Bibliography

Index

Table of Contents provided by Blackwell. All Rights Reserved.