Finite Range Life Distributions of Coherent Dependent Systemsby

By : Subhradev Sen, Ahmed Z. Afify

Page No: 73-88

Abstract
Opposed to the general theory of infinite upper limit for lifetime distributions, Mukherjee and Islam ([4], 1983) proposed and studied a finite range distribution considering the fact that designed lifetime of equipment is actually finite. It is quite rational to consider interdependency of multi-component systems in analyzing reliability characteristics. In this article, we consider two-component coherent dependent systems by developing bivariate finite range distribution following the method of Farlie-Gumbel-Morgenstern copula. We investigate and study different reliability characteristics, such as mean time to system failure, system reliability and failure rate functions for finite range coherent dependent systems. We also compare the dependent finite range systems with independent finite range systems for mentioned reliability characteristics.

Authors :
Subhradev Sen
Alliance School of Business, Alliance University, Bangalore, India.

Ahmed Z. Afify
Department of Statistics, Mathematics and Insurance, Benha University, Egypt.

DOI: DOI-https://doi.org/10.32381/IAPQRT.2018.43.01.5