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Increasing convex order on generalized aggregation of SAI random variables with applications

Published online by Cambridge University Press:  15 September 2017

Xiaoqing Pan
Affiliation:
Medical College of Wisconsin and University of Science and Technology of China
Xiaohu Li
Affiliation:
Stevens Institute of Technology
Corresponding
E-mail address:

Abstract

In this paper we study general aggregation of stochastic arrangement increasing random variables, including both the generalized linear combination and the standard aggregation as special cases. In terms of monotonicity, supermodularity, and convexity of the kernel function, we develop several sufficient conditions for the increasing convex order on the generalized aggregations. Some applications in reliability and risks are also presented.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 2017 

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