ON THE MEAN RESIDUAL LIFETIME AT SYSTEM LEVEL IN TWO-COMPONENT PARALLEL SYSTEMS FOR THE FGM DISTRIBUTION


Hüdaverdi B., Gürler S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.41, no.1, pp.139-145, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 1
  • Publication Date: 2012
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.139-145
  • Keywords: Mean residual life function, Parallel system, FGM distribution, Copula, GUMBEL-MORGENSTERN DISTRIBUTIONS, COHERENT SYSTEMS, EXCHANGEABLE COMPONENTS, ORDER-STATISTICS, RELIABILITY
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, we consider the mean residual lifetime of two-component parallel systems in the case of possibly dependent components. We provide some results and examine the behavior of the mean residual life function at the system level for the bivariate Farlie-Gumbel-Morgenstern (FGM) distribution. Applications of these results to evaluate the relationship between the mean residual life and that of the dependence of components are also given.