E-Bayesian Estimation for the Exponential Model Based on Record Statistics

This paper is concerned with using the E-Bayesian method for computing estimates for the parameter and reliability function of the Exponential distribution based on a set of upper record statistics values. The estimates are derived based on a conjugate prior for the scale parameter and squared error...

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Main Author: Hassan M. Okasha
Format: Article
Language:English
Published: Springer 2019-09-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Online Access:https://www.atlantis-press.com/article/125917183/view
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author Hassan M. Okasha
author_facet Hassan M. Okasha
author_sort Hassan M. Okasha
collection DOAJ
description This paper is concerned with using the E-Bayesian method for computing estimates for the parameter and reliability function of the Exponential distribution based on a set of upper record statistics values. The estimates are derived based on a conjugate prior for the scale parameter and squared error loss function. A comparisons between the new method and the corresponding Bayes technique are made using the Monte Carlo simulation.
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spelling doaj.art-d01fd117ff98429d83580c885d74d1402022-12-22T03:02:52ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662019-09-0118310.2991/jsta.d.190820.001E-Bayesian Estimation for the Exponential Model Based on Record StatisticsHassan M. OkashaThis paper is concerned with using the E-Bayesian method for computing estimates for the parameter and reliability function of the Exponential distribution based on a set of upper record statistics values. The estimates are derived based on a conjugate prior for the scale parameter and squared error loss function. A comparisons between the new method and the corresponding Bayes technique are made using the Monte Carlo simulation.https://www.atlantis-press.com/article/125917183/viewE-Bayes estimationBayes estimationExponential distributionUpper record statistics valuesSquared error loss functionMonte Carlo simulation
spellingShingle Hassan M. Okasha
E-Bayesian Estimation for the Exponential Model Based on Record Statistics
Journal of Statistical Theory and Applications (JSTA)
E-Bayes estimation
Bayes estimation
Exponential distribution
Upper record statistics values
Squared error loss function
Monte Carlo simulation
title E-Bayesian Estimation for the Exponential Model Based on Record Statistics
title_full E-Bayesian Estimation for the Exponential Model Based on Record Statistics
title_fullStr E-Bayesian Estimation for the Exponential Model Based on Record Statistics
title_full_unstemmed E-Bayesian Estimation for the Exponential Model Based on Record Statistics
title_short E-Bayesian Estimation for the Exponential Model Based on Record Statistics
title_sort e bayesian estimation for the exponential model based on record statistics
topic E-Bayes estimation
Bayes estimation
Exponential distribution
Upper record statistics values
Squared error loss function
Monte Carlo simulation
url https://www.atlantis-press.com/article/125917183/view
work_keys_str_mv AT hassanmokasha ebayesianestimationfortheexponentialmodelbasedonrecordstatistics