Published In

Journal of Applied Probability

Document Type

Post-Print

Publication Date

3-2020

Subjects

Mathematical statistics, Stochastic models, Coherent states

Abstract

We consider coherent systems with independent and identically distributed components. While it is clear that the system’s life will be stochastically larger when the components are replaced with stochastically better components, we show that, in general, similar results may not hold for hazard rate, reverse hazard rate, and likelihood ratio orderings. We find sufficient conditions on the signature vector for these results to hold. These results are combined with other well-known results in the literature to get more general results for comparing two systems of the same size with different signature vectors and possibly with different independent and identically distributed component lifetimes. Some numerical examples are also provided to illustrate the theoretical results.

Description

This article has been published in a revised form in Journal of Applied Probability http://doi.org/10.1017/jpr.2019.89. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © Copyright (2020) Cambridge University Press

Locate the Document

http://doi.org/10.1017/jpr.2019.89.

DOI

10.1017/jpr.2019.89

Persistent Identifier

https://archives.pdx.edu/ds/psu/32880

Available for download on Tuesday, September 01, 2020

Included in

Probability Commons

Share

COinS