Hazard Rate Properties of Systems with Two Components

YILMAZ M.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.41, sa.12, ss.2111-2132, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 12
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/03610926.2011.558661
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2111-2132
  • Anahtar Kelimeler: Hazard rate, Hazard rate ordering, Systems with dependent components, EXCHANGEABLE COMPONENTS, BIVARIATE DISTRIBUTIONS, RELIABILITY
  • Ankara Üniversitesi Adresli: Evet

Özet

In this article, we study the hazard rate ordering of lifetimes of two-component systems (series and parallel) by considering some bivariate distributions for the joint distribution of component lifetimes. Such that, we aim to investigate the lifetimes of systems with stochastically dependent and with stochastically independent components, the lifetimes of the components, and a stochastic ordering relation between these lifetimes. In addition to these, the mononotonicity of the hazard rates of the parallel and the series systems for the bivariate Farlie-Gumbel-Morgenstern (FGM) family is studied.