Convex Functions, Partial Orderings, and Statistical Applications

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.Presents classical and newly published results on convex functions and related inequalitiesExplains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliabilityDemonstrates the connection of partial ordering with other well-known orderings such as majorization and Schur functionsWill generate further research and applications