Title: Bivariate Exponentiated Generalized Linear Exponential Distribution with Applications in Reliability Analysis,
Abstract: The aim of this paper, is to define a bivariate exponentiated generalized
linear exponential distribution based on Marshall-Olkin shock model.
Statistical and reliability properties of this distribution are discussed. This
includes quantiles, moments, stress-strength reliability, joint reliability
function, joint reversed (hazard) rates functions and joint mean waiting time
function. Moreover, the hazard rate, the availability and the mean residual
lifetime functions for a parallel system, are established. One data set is
analyzed, and it is observed that, the proposed distribution provides a better
fit than Marshall-Olkin bivariate exponential, bivariate generalized
exponential and bivariate generalized linear failure rate distributions.
Simulation studies are presented to estimate both the relative absolute bias,
and the relative mean square error for the distribution parameters based on
complete data.