Information theory and the failure time of a system
type: Item
instance of: scholarly article
title: Information theory and the failure time of a system
zbMATH Open document ID: 0782.62009
author: Nader Ebrahimi
published in: Annals of the Institute of Statistical Mathematics
publication date: 1993-04-01T00:00:00Z
review text: The paper deals with a multi-component system with time-dependent characteristics. It introduces a measure for the rate of generation of information about the failure time of the system applying the mutual information of different components. Mutual information is a well-known measure of information and has many useful properties. In this paper traditional measures are slightly modified to get a better usefulness in the area of reliability. Several properties of the measure are derived and sample calculations for several hypothetical systems are presented.
Mathematics Subject Classification ID: 62B10
Mathematics Subject Classification ID: 62N05
zbMATH DE Number: 148204
zbMATH Keywords: Poisson shock model
zbMATH Keywords: white noise
zbMATH Keywords: entropy
zbMATH Keywords: Markov process
zbMATH Keywords: first passage time
zbMATH Keywords: stress-strength model
zbMATH Keywords: multi-component system
zbMATH Keywords: time-dependent characteristics
zbMATH Keywords: failure time
zbMATH Keywords: mutual information
zbMATH Keywords: measure of information
zbMATH Keywords: reliability
reviewed by: Ilkka Virtanen
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 148204