Translator Disclaimer
December 2016 Order statistics with memory: a model with reliability applications
Alexander Katzur, Udo Kamps
Author Affiliations +
J. Appl. Probab. 53(4): 974-988 (December 2016).

Abstract

An extended model of order statistics based on possibly different distributions is introduced and analyzed. In the interpretation of successive failure times in a 𝑘-out-of-𝑛 system, say, until each failure, the time periods under previous (increasing) loads exerted on the remaining components are recorded. Then the lifetime distribution of the system depends on the complete failure scheme. Thus, order statistics with memory provide an alternative to the use of sequential order statistics, which form a Markov chain. The quantities as well as their spacings, the interoccurrence times, can be compared by means of stochastic ordering.

Citation

Download Citation

Alexander Katzur. Udo Kamps. "Order statistics with memory: a model with reliability applications." J. Appl. Probab. 53 (4) 974 - 988, December 2016.

Information

Published: December 2016
First available in Project Euclid: 7 December 2016

zbMATH: 1358.60037
MathSciNet: MR3581235

Subjects:
Primary: 60E05
Secondary: 60E15 , 62G30

Keywords: order statistics , ordered data , 𝑘-out-of-𝑛 system , sequential order statistics

Rights: Copyright © 2016 Applied Probability Trust

JOURNAL ARTICLE
15 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.53 • No. 4 • December 2016
Back to Top