Although they play a fundamental role in nearly all branches of mathematics, inequalities
are usually obtained by ad hoc methods rather than as consequences of some underlying …

The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

In this chapter we study stochastic orders that compare the “location” or the “magnitude” of
random variables. The most important and common orders that are considered in this …

The present work studies the effect of redundancies on the reliability of coherent systems
formed by modules. Different redundancies at components' level versus redundancies at …

Ordering properties on order statistics from heterogeneous observations have been paid lots
of attention. This article devotes to investigating the ordering properties on order statistics …

This paper examines the problem of the stochastic comparison of series and parallel
systems with s-independent heterogeneous generalized exponential components. The …

Majorization is a key concept in studying the Schur-convex property of a function, which is
very useful in the study of stochastic orders. In this paper, some results on Schur-convexity …

Let X1,…, Xn be independent random variables with ** having survival function λi, i= 1,…, n,
and let Y1,…, Yn be a random sample with common population survival distribution …

Stochastic comparison on order statistics from heterogeneous-dependent observations has
been paid lots of attention recently. This paper devotes to investigating the ordering …

Independent random variables [Formula: see text] are said to belong to the scale family of
distributions if [Formula: see text], for i= 1,…, n, where F is an absolutely continuous …