Some bounds in classes of ``aging'' distributions
type: Item
instance of: scholarly article
title: Some bounds in classes of ``aging'' distributions
zbMATH Open document ID: 0844.62083
DOI: 10.1007/BF02366575
author: V. Yu. Kotlyar
published in: Cybernetics and Systems Analysis
publication date: 1996-09-01T00:00:00Z
review text: Reliability of technical systems is closely linked with the ``aging'' properties of the components. So-called monotone systems whose components have certain aging characteristics are of considerable importance in this field of research. Efficient bounds on reliability, mean time to failure, and other parameters can be obtained for such systems. The bounds in the author's paper, Autom. Remote Control 52, No. 1, 121-125 (1991); translation from Avtom. Telemekh 1991, No. 1, 149-154 (1991; Zbl 0731.60081), were obtained under the least restrictive assumptions on aging. Here the author generalizes some results of that paper to the case of even more general aging principles; specifically, when the system components are HNBUE, HNWUE, NBAFR, NWAFR in terms of their reliability properties.
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 62E10
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 830643
zbMATH Keywords: harmonic new better than used in expectation
zbMATH Keywords: harmonic new worse than used in expectation
zbMATH Keywords: new better than used failure rate
zbMATH Keywords: new worse than used failure rate
zbMATH Keywords: general aging principles
MaRDI profile type: Publication
cites work: Q4158362
cites work: Two-sided bounds on reliability of monotone systems
cites work: Some comments on a paper on k-HNBUE life distributions
cites work: The new better than used failure rate class of life distribution
description: scientific article; zbMATH DE number 830643