A quantitative lower estimate for the expectation of the first failure moment of a high reliable system with protection in a nonstationary regime
type: Item
instance of: scholarly article
zbMATH Open document ID: 0985.60079
author: O. O. Kushnir
publication date: 2001-09-16T00:00:00Z
Mathematics Subject Classification ID: 60K05
Mathematics Subject Classification ID: 60K10
Mathematics Subject Classification ID: 60K20
zbMATH DE Number: 1646753
zbMATH Keywords: higher-reliable system with protection
zbMATH Keywords: non-stationary regime
zbMATH Keywords: mean time to failure
zbMATH Keywords: lower estimation
MaRDI profile type: Publication
title: A quantitative lower estimate for the expectation of the first failure moment of a high reliable system with protection in a nonstationary regime
published in: Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka
review text: Quantitative lower estimation for the expectation of mean time to failure of a higher-reliable system with protection over upper estimation of the distribution function of this time in the case of existence of moments of second order of the initial distribution functions is obtained. In the previous paper [ibid. 55, 121-128 (1997); resp. ibid. 55, 117-124 (1996; Zbl 0923.60092)] the author obtained limit theorems on the exponential asymptotic of the distribution function of the mean time to failure of the system with protection using the method of summing up and analysis of integral equations. The present paper uses this method.
description: scientific article; zbMATH DE number 1646753