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Multivariate Bonferroni-Type Inequalities : Theory and Applications by John Tuhao Chen, Bowling Green State University, Ohio, USA is a book available to read on EtoBox.

What is Multivariate Bonferroni-Type Inequalities : Theory and Applications about?

Multivariate Bonferroni-Type Inequalities: Theory and Applications presents a systematic account of research discoveries on multivariate Bonferroni-type inequalities published in the past decade. The emergence of new bounding approaches pushes the conventional definitions of optimal inequalities and demands new insights into linear and Fréchet optimality. The book explores these advances in bounding techniques with corresponding innovative applications. It presents the method of linear programming for multivariate bounds, multivariate hybrid bounds, sub-Markovian bounds, and bounds using Hamilton circuits. ...The first half of the book describes basic concepts and methods in probability inequalities. The author introduces the classification of univariate and multivariate bounds with optimality, discusses multivariate bounds using indicator functions, and explores linear programming for bivariate upper and lower bounds. ...The second half addresses bounding results and applications of multivariate Bonferroni-type inequalities. The book shows how to construct new multiple testing procedures with probability upper bounds and goes beyond bivariate upper bounds by considering vectorize

Author

John Tuhao Chen, Bowling Green State University, Ohio, USA

Publisher

Chapman and Hall/CRC

Published

2014

Language

EN

ISBN

9780367378523

Subjects

Mathematics, Stem