Estimation and Prediction for Exponentiated Family of Distributions Based on Records |
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| Authors: | A. Asgharzadeh A. Fallah |
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| Affiliation: | 1. Department of Statistics , University of Mazandaran , Babolsar, Iran a.asgharzadeh@umz.ac.ir;3. Department of Statistics , University of Payam Noor , Behshahr, Iran |
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| Abstract: | In this article, a family of distributions, namely the exponentiated family of distributions, is defined and for the unknown parameters, different point estimates are derived based on record statistics. Prediction for future record values is presented from a Bayesian view point. Two numerical examples and a Monte Carlo simulation study are presented to illustrate the results. |
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| Keywords: | Bayes estimation Maximum likelihood estimation Monte Carlo simulation Prediction Record values Symmetric and asymmetric loss functions |
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