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Bonferroni-Type Inequalities with Applications

Bonferroni-Type Inequalities with Applications

Hardcover

Series: Probability and Its Applications

Probability & Statistics

ISBN10: 0387947760
ISBN13: 9780387947761
Publisher: Springer Nature
Published: Aug 9 1996
Pages: 269
Weight: 1.30
Height: 0.82 Width: 6.40 Depth: 9.54
Language: English
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.

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Probability & Statistics