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Convex Functions, Partial Orderings, and Statistical Applications (Mathematics in Science & Engineering)
 
 
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Convex Functions, Partial Orderings, and Statistical Applications (Mathematics in Science & Engineering) [Hardcover]

Josip E. Peajcariaac (Author), Y. L. Tong (Author)

Price: $139.00 & this item ships for FREE with Super Saver Shipping. Details
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Book Description

May 12, 1992 0125492502 978-0125492508 1
This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists.

Key Features
* Presents classical and newly published results on convex functions and related inequalities
* Explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability
* Demonstrates the connection of partial ordering with other well-known orderings such as majorization and Schur functions
* Will generate further research and applications

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
normed linear space, isotonic linear functional, arrangement increasing functions, isotonic functionals, exchangeable normal variables, multivariate majorization, majorization theorem, permutation invariant, exchangeable random variables, majorization theory, convex sequence, common correlation coefficient, continuous convex function, integral analogue, convex iff, inequality for convex functions, increasing increments, nonnegative integrable function, additional generalizations, probability inequalities, multivariate exponential, semigroup property, geometric inequalities
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Steffensen's Inequalities, Various Results, Jensen-Petrovié's Inequalities, Orderings of Convexity, Hermite-Hadamard's Inequality, Higher-Order Jensen-Type Inequalities, Refinements of Inequalities, General Linear Inequalities, Arrangement Ordering, Multivariate Arrangement Increasing Functions, Functions Convex, Jensen-Steffensen Inequality, System of Functions, Companion Inequalities, Jensen-Petrovic's Inequalities, Selection of Populations, Some Statistical Applications, Das Gupta, Minkowski Inequality, Jensen-Boas Inequality, Hyperbolic Forms, Related Inequalities
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