Estimating the Reliability Function for a Family of Exponentiated Distributions

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...

Full description

Bibliographic Details
Main Authors: Ajit Chaturvedi, Anupam Pathak
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2014/563093
id doaj-4e8cdaf7d6d1464c9e20bb7e54950a2d
record_format Article
spelling doaj-4e8cdaf7d6d1464c9e20bb7e54950a2d2020-11-25T00:28:31ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Ajit Chaturvedi
Anupam Pathak
spellingShingle Ajit Chaturvedi
Anupam Pathak
Estimating the Reliability Function for a Family of Exponentiated Distributions
Journal of Probability and Statistics
author_facet Ajit Chaturvedi
Anupam Pathak
author_sort Ajit Chaturvedi
title Estimating the Reliability Function for a Family of Exponentiated Distributions
title_short 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_sort estimating the reliability function for a family of exponentiated distributions
publisher Hindawi Limited
series Journal of Probability and Statistics
issn 1687-952X
1687-9538
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/563093
work_keys_str_mv AT ajitchaturvedi estimatingthereliabilityfunctionforafamilyofexponentiateddistributions
AT anupampathak estimatingthereliabilityfunctionforafamilyofexponentiateddistributions
_version_ 1725335708106752000

Similar Items