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Bayesian Estimation of Weibull Rayleigh Distribution Under Balanced Loss Functions.

Parmil Kumar, Jaspreet Kour Sudan, Kirandeep Kour

Abstract



In this paper, we have derived the expressions for bayesian estimate of unknown parameter of the Weibull Rayleigh distribution. The results of the bayes estimates are utilized to obtained the estimates under different loss functions. MCMC techniques with in-built Gibbs sampling are used to obtain samples from the unknown parameter. 95% confidence intervals have also been derived for precisional purposes. Finally, a real life data has been used for simulation purposes. Monte Carlo Simulation has also been performed to find efficient estimation method and better estimates among the Loss function.

Keywords


Weibull Rayleigh Distribution, Markov Chain Monte Carlo Technique, Bayesian Esitmation, Balanced Loss Function.

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