E-Bayesian Estimation of the Weighted Power Function Distribution with Application to Medical Data

Athirakrishnan R. B. () and Sathar E. I. Abdul ()
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Athirakrishnan R. B.: Department of Statistics, 29263 University of Kerala , Kariavattom, Trivandrum, 695581, India
Sathar E. I. Abdul: Department of Statistics, 29263 University of Kerala , Kariavattom, Trivandrum, 695581, India

Stochastics and Quality Control, 2025, vol. 40, issue 1, 71-84

Abstract: This paper investigates E-Bayesian estimation for the Weighted Power Function Distribution (WPFD), a modified version of the Power Function distribution which is widely applied in biosciences and engineering. Three distinct priors for hyper-parameters are considered, and E-posterior risks are derived using squared error, entropy (measuring uncertainty), and precautionary loss functions (penalizing extreme deviations). Properties of the E-Bayesian estimators are analyzed, supplemented by a simulation study and real data application. Results indicate that E-Bayesian estimators outperform Bayesian counterparts in terms of E-posterior risk, as demonstrated in simulation studies.

Keywords: Weighted Power Function Distribution; Bayesian Estimation; Posterior Risk; E-Bayesian Estimation; E-Posterior Risk (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1515/eqc-2024-0038

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