Estimating the Reliability Function for a Family of Exponentiated Distributions

A family of exponentiated distributions is proposed. The problems of estimating the reliability function are considered. Uniformly minimum variance unbiased estimators and maximum likelihood estimators are derived. A comparative study of the two methods of estimation is done. Simulation study is pre...

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Main Authors: Ajit Chaturvedi, Anupam Pathak
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2014/563093
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author Ajit Chaturvedi
Anupam Pathak
author_facet Ajit Chaturvedi
Anupam Pathak
author_sort Ajit Chaturvedi
collection DOAJ
description A family of exponentiated distributions is proposed. The problems of estimating the reliability function are considered. Uniformly minimum variance unbiased estimators and maximum likelihood estimators are derived. A comparative study of the two methods of estimation is done. Simulation study is preformed.
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institution Kabale University
issn 1687-952X
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language English
publishDate 2014-01-01
publisher Wiley
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series Journal of Probability and Statistics
spelling doaj-art-4e8cdaf7d6d1464c9e20bb7e54950a2d2025-02-03T01:21:52ZengWileyJournal of Probability and Statistics1687-952X1687-95382014-01-01201410.1155/2014/563093563093Estimating the Reliability Function for a Family of Exponentiated DistributionsAjit Chaturvedi0Anupam Pathak1Department of Statistics, University of Delhi, Delhi 110007, IndiaDepartment of Statistics, University of Delhi, Delhi 110007, IndiaA family of exponentiated distributions is proposed. The problems of estimating the reliability function are considered. Uniformly minimum variance unbiased estimators and maximum likelihood estimators are derived. A comparative study of the two methods of estimation is done. Simulation study is preformed.http://dx.doi.org/10.1155/2014/563093
spellingShingle Ajit Chaturvedi
Anupam Pathak
Estimating the Reliability Function for a Family of Exponentiated Distributions
Journal of Probability and Statistics
title Estimating the Reliability Function for a Family of Exponentiated Distributions
title_full Estimating the Reliability Function for a Family of Exponentiated Distributions
title_fullStr Estimating the Reliability Function for a Family of Exponentiated Distributions
title_full_unstemmed Estimating the Reliability Function for a Family of Exponentiated Distributions
title_short Estimating the Reliability Function for a Family of Exponentiated Distributions
title_sort estimating the reliability function for a family of exponentiated distributions
url http://dx.doi.org/10.1155/2014/563093
work_keys_str_mv AT ajitchaturvedi estimatingthereliabilityfunctionforafamilyofexponentiateddistributions
AT anupampathak estimatingthereliabilityfunctionforafamilyofexponentiateddistributions