Some reliability characteristics and stochastic ordering of series and parallel systems of bivariate generalized exponential distribution

KIZILASLAN F.

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, cilt.88, sa.3, ss.553-574, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 88 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/00949655.2017.1397152
  • Dergi Adı: JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.553-574
  • Anahtar Kelimeler: Bivariate generalized exponential distribution, parallel and series systems, mean residual life, regression mean residual life, stochastic ordering, COMPONENTS
  • Marmara Üniversitesi Adresli: Evet

Özet

In this paper, the reliability properties of two-component parallel and series systems are considered for bivariate generalized exponential (BVGE) distribution introduced by Kundu and Gupta [Bivariate generalized exponential distribution. J Multivar Anal. 2009;100:581-593]. For this model, the moments and mean residual life functions of these systems and the regression mean residual life function are derived. Stochastic comparisons of series and parallel systems of BVGE distribution are investigated. Moreover, various ordering results for the comparisons of series and parallel systems arising from BVGE random vectors are obtained with respect to the usual stochastic, reversed hazard rate and likelihood ratio orderings.