<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The concepts of residual life time and inactivity time are extensively used in reliability theory for modeling life time data. In this paper we prove some new results on stochastic comparisons of residual life time and inactivity time in series and parallel systems. These results are in addition to the existing results of Li &amp; Zhang (2003) and Li &amp; Lu (2003). We also present sufficient conditions for aging properties of the residual life time and inactivity life time of series and parallel systems. Some examples from Weibull and Gompertz distributions are provided to support the results as well.</p></abstract>

The concepts of residual life time and inactivity time are extensively used in reliability theory for modeling life time data. In this paper we prove some new results on stochastic comparisons of residual life time and inactivity time in series and parallel systems. These results are in addition to the existing results of Li & Zhang (2003) and Li & Lu (2003). We also present sufficient conditions for aging properties of the residual life time and inactivity life time of series and parallel systems. Some examples from Weibull and Gompertz distributions are provided to support the results as well.

Reliability Properties of Residual Life Time and Inactivity Time of Series and Parallel System

Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan (H.P.) Pin - 173 234 INDIA

Journal of Applied Mathematics, Statistics and Informatics

The concepts of residual life time and inactivity time are extensively used in reliability theory for modeling life time data. In this paper we prove some new...

Reliability Properties of Residual Life Time and Inactivity Time of Series and Parallel System

Published Online: Aug 13, 2012

Page range: 5 - 16

DOI: https://doi.org/10.2478/v10294-012-0001-7

Keywords
Likelihood ratio order, series system, parallel system

This content is open access.

Reliability Properties of Residual Life Time and Inactivity Time of Series and Parallel System

Published Online: Aug 13, 2012

Page range: 5 - 16

DOI: https://doi.org/10.2478/v10294-012-0001-7

KeywordsLikelihood ratio order, series system, parallel system

This content is open access.

Keywords
Likelihood ratio order, series system, parallel system