Journal of Statistics Applications & Probability

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In this article, with the use of the Bayesian, Expected Bayesian, and H-Bayesian estimation methods, the shape parameter and hazard rate of the Kumaraswamy distribution are calculated. Three separate loss functions the Squared Error loss function(SELF), the Precautionary loss function(PLF), and the Asymmetry loss function(ALF) along with an informative prior the Gamma prior are used to provide the estimates . The definitions and properties of the proposed estimators are given. Monte Carlo simulation is used to compare all of the estimates in terms of mean square error (MSE). Taking data from the real world, different estimation methodologies’ efficacy has also been studied. Numerical analyses show that the E-Bayesian estimates outperform the Bayesian and Hierarchical estimates.

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