reliability analysis of 3-component mixture of distributions

This article focuses on studying 3component mixtures of exponential, rayleigh, pareto and burr typexii distributions in relation to reliability analysis. the main purpose of this study is to derive algebraic expressions for different functions of survival time. for these 3component mixture distributions, the cumulative distribution function, hazard rate function, cumulative hazard rate function, reversed hazard rate function, mean residual life function and mean waiting time function are discussed. to study the behavior of different reliability functions, numerical results are presented for fixed values of parameters.