International Journal of Stochastic Analysis

PDF
International Journal of Stochastic Analysis / 1996 / Article

On this page

AbstractCopyright

Open Access

Volume 9 |Article ID 561390 | 34 pages | https://doi.org/10.1155/S1048953396000433

The failure rate in reliability: approximations and bounds

Christiane Cocozza-Thivent1 and Vladimir Kalashnikov2

1Université de Marne-la-Vallée, Equipe d'Analyse et de Mathématiques Appliquées, 2 rue de la Butte Verte, Noisy-le-Grande Cedex 93166, France

2Institute of Systems Analysis, 9, Prospect 60 let Oktyabrya, Moscow 117312 , Russia

Received01 Apr 1996
Revised01 Oct 1996

Abstract

We consider models typical to the area of reliability, and a failure rate function for processes describing the dynamics of these models. Various approximations of the failure rate function are proposed and their accuracies are investigated. The basic case studied in the paper is a regenerative model. Some interesting particular cases (Markov, semi-Markov, etc.) are considered. All proposed estimates are stated in a tractable analytic form.This article is dedicated to the memory of Roland L. Dobrushin.

Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

More related articles

62 Views | 527 Downloads | 16 Citations
PDF Download Citation Citation
Order printed copiesOrder

Related articles

We are committed to sharing findings related to COVID-19 as quickly and safely as possible. Any author submitting a COVID-19 paper should notify us at help@hindawi.com to ensure their research is fast-tracked and made available on a preprint server as soon as possible. We will be providing unlimited waivers of publication charges for accepted articles related to COVID-19. Sign up here as a reviewer to help fast-track new submissions.