Mustansiriyah Journal of Pure and Applied Sciences

Some Bayes estimators for Exponentiated Rayleigh Distribution under Doubly Type II Censored Data

Muslim A. Qasim

Awatif R. Al-Dubaicy

DOI: https://doi.org/10.47831/mjpas.v1i1.5

Keywords: Bayesian analysis, Exponentiated Rayleigh distribution, Inverted Levy prior, doubly type II censored data.

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Abstract

Bayesian analysis for the shape parameter  of Exponentiated Rayleigh distribution or (Burr type x) has been considered in this paper, under two priors distributions [Inverted Levy and Quasi] using doubly type II censored data, with two loss functions [Weighted and Precautionary], we conducted a simulation study that evaluate the effectiveness of four estimators by six presumption experiments for varied values of distribution parameters and three sample sizes using mean squared error [MSE]. In general the best estimator of the shape parameter  of the (ERD) using Doubly type II censored data is under Inverted Levy prior under Precautionary loss function in all sample sizes