Reliability analysis of three-component mixture of distributions

This article focuses on studying three-component mixture of Exponential, Rayleigh, Pareto, and Burr Type-XII distributions in relation to reliability analysis. The main purpose of this study is to derive algebraic expressions for dierent functions of survival time. For these three-component mixtures of 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 behaviors of dierent reliability functions, numerical results are presented for xed values of parameters