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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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. |
format | Article |
id | doaj-art-4e8cdaf7d6d1464c9e20bb7e54950a2d |
institution | Kabale University |
issn | 1687-952X 1687-9538 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 |