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Bayes Estimator of Inverse Gaussian Parameters Under General Entropy Loss Function Using Lindley's Approximation
Authors:P K Singh  Umesh Singh
Institution:1. Department of Statistics , Udai Pratap (Autonomous) College , Varanasi, India;2. Department of Statistics and CIMS , B.H.U , Varanasi, India
Abstract:In this article, we obtained Bayes estimators of parameters of Inverse Gaussian distributions under asymmetric loss function using Lindley's Approximation (L-Approximation). The proposed estimators have been compared with the corresponding estimators obtained under symmetric loss function and MLE for their risks. This comparison is illustrated using Monte-Carlo study of 2,000 simulated sample from the Inverse Gaussian distribution.
Keywords:Bayes estimates  General entropy loss function  Lindley's approximation  Linex loss function  Risks of estimators  Squared error loss function
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