THE HAZARD RATE PROPERTIES OF PARALLEL AND SERIES SYSTEMS FOR BIVARIATE EXPONENTIAL DISTRIBUTIONS

In this paper, two-component systems (parallel and series) with stochastically dependent components are considered. The aim is to investigate an ordering relation according to their hazard rates among the lifetime of the system with dependent and independent components, and the lifetime of the component. In addition, monotonicity of the hazard rate of two-component system for a bivaritate exponential family of distributions is examined. Moreover, some general properties of the hazard rates of the systems for the Clayton’s Distribution Family are given.