Marshall–Olkin Morgenstern–Weibull distribution: generalisations and applications

Abstract

Abstract In this paper a new bivariate distribution called Marshall–Olkin–Morgenstern-bivariate-Weibull distribution is introduced and studied. Two different models of minification processes with the above bivariate distribution as stationary marginal distribution are developed. It is shown that the process is strictly stationary. The properties of the process are derived. The expressions for reliability under stress-strength analysis when the components are in series and parallel are obtained. The process is extended to pth order as well as k-variate cases.