Reliability analysis of 3-component mixture of distributions

Document Type: Research Note

Authors

1 Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan.

2 Department of Statistics, Government College University, Faisalabad 38000, Pakistan.

3 Department of Statistics, Quaid-i-Azam University, Islamabad 44000, Pakistan

Abstract

This article focuses on studying 3-component mixtures 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 different functions of survival time. For these 3-component 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.

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Main Subjects