Buch, Englisch, 302 Seiten, Format (B × H): 155 mm x 231 mm, Gewicht: 431 g
Theory and Applications
Buch, Englisch, 302 Seiten, Format (B × H): 155 mm x 231 mm, Gewicht: 431 g
ISBN: 978-0-367-37852-3
Verlag: CRC Press
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 vectorized upper and hybrid bounds. It presents an optimization algorithm for bivariate and multivariate lower bounds and covers vectorized high-dimensional lower bounds with refinements, such as Hamilton-type circuits and sub-Markovian events. The book concludes with applications of probability inequalities in molecular cancer therapy, big data analysis, and more.
Zielgruppe
Professional Practice & Development
Autoren/Hrsg.
Weitere Infos & Material
Introduction. Fundamentals. Multivariate Indicator Functions. Multivariate Linear Programming Framework. Bivariate Upper Bounds. Multivariate and Hybrid Upper Bounds. Bivariate Lower Bounds. Multivariate and Hybrid Lower Bounds. Case Studies. Bibliography. Index.