On the mean remaining strength at the system level for some bivariate survival models based on exponential distribution

Selma Gurler ^[1] ; Burcu Hudaverdi Ucer ^[1] ; Ismihan Bairamov ^[2]
1. [1] Dokuz Eylül University
  
  Dokuz Eylül University
  
  Turquía
2. [2] İzmir University of Economics
  
  İzmir University of Economics
  
  Turquía
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 290, Nº 1, 2015, págs. 535-542
Idioma: inglés
DOI: 10.1016/j.cam.2015.06.011
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Resumen
- In this paper, we consider the mean remaining strength at the system level of two-component parallel and series systems in the case of possibly dependent components which are subject to a common stress. We assume that the strengths of the components have FGM, Freund’s, Marshall–Olkin and Block–Basu’s bivariate exponential models. A numerical study based on the generated data set is performed to obtain the maximum likelihood estimates of the mean remaining strength for two-component parallel system in the stress–strength setup.