On the Estimation of Stress Strength Reliability Parameter of Weibull-Rayleigh Distribution
Eno E. E. Akarawak, Matthew Iwada Ekum, Sheriffdeen Taiwo Oyeyemi
Asian Journal of Probability and Statistics · pp. 1–21 · Published 3 Sep 2022
10.9734/ajpas/2022/v19i430473Abstract
The reliability of a component depends on the stress conditions of the operating environment, which are uncertainty and should be modeled as random. This article deals with the estimation of the stress-strength reliability parameter of Weibull-Rayleigh distribution. Let X and Y be two independent random variables, where X and Y follow Weibull-Rayleigh distribution. The maximum likelihood estimator and the approximate maximum likelihood estimator of the stress-strength reliability are obtained. Other properties of the Weibull-Rayleigh distributions are derived. Two real data applications are given for showing the flexibility of the Weibull-Rayleigh stress-strength reliability.
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