A new one parameter distribution: properties and estimation with applications to complete and type II censored data

The aim of this paper is to propose a new flexible model with one parameter. Several statistical properties and reliability characteristics of the proposed model are discussed. The maximum likelihood method is used to estimate the model parameter under complete and Type II censored samples. Simulati...

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Main Author:	R. Alshenawy
Format:	Article
Language:	English
Published:	Taylor & Francis Group 2020-01-01
Series:	Journal of Taibah University for Science
Subjects:	hazard rate function lifetime expectancy maximum likelihood method censored data
Online Access:	http://dx.doi.org/10.1080/16583655.2019.1698276

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spelling	doaj-8bd12a5e984948aa841c5c4ea78233212021-01-26T12:13:34ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552020-01-01141111810.1080/16583655.2019.16982761698276A new one parameter distribution: properties and estimation with applications to complete and type II censored dataR. Alshenawy0Faculty of Science, Department of Mathematics and Statistics, King Feisal UniversityThe aim of this paper is to propose a new flexible model with one parameter. Several statistical properties and reliability characteristics of the proposed model are discussed. The maximum likelihood method is used to estimate the model parameter under complete and Type II censored samples. Simulation is conducted to estimate both the relative absolute bias and the relative mean square error for the model parameter. Finally, three real data sets are analyzed to investigate the applicability of the proposed model.http://dx.doi.org/10.1080/16583655.2019.1698276hazard rate functionlifetime expectancymaximum likelihood methodcensored data
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	R. Alshenawy
spellingShingle	R. Alshenawy A new one parameter distribution: properties and estimation with applications to complete and type II censored data Journal of Taibah University for Science hazard rate function lifetime expectancy maximum likelihood method censored data
author_facet	R. Alshenawy
author_sort	R. Alshenawy
title	A new one parameter distribution: properties and estimation with applications to complete and type II censored data
title_short	A new one parameter distribution: properties and estimation with applications to complete and type II censored data
title_full	A new one parameter distribution: properties and estimation with applications to complete and type II censored data
title_fullStr	A new one parameter distribution: properties and estimation with applications to complete and type II censored data
title_full_unstemmed	A new one parameter distribution: properties and estimation with applications to complete and type II censored data
title_sort	new one parameter distribution: properties and estimation with applications to complete and type ii censored data
publisher	Taylor & Francis Group
series	Journal of Taibah University for Science
issn	1658-3655
publishDate	2020-01-01
description	The aim of this paper is to propose a new flexible model with one parameter. Several statistical properties and reliability characteristics of the proposed model are discussed. The maximum likelihood method is used to estimate the model parameter under complete and Type II censored samples. Simulation is conducted to estimate both the relative absolute bias and the relative mean square error for the model parameter. Finally, three real data sets are analyzed to investigate the applicability of the proposed model.
topic	hazard rate function lifetime expectancy maximum likelihood method censored data
url	http://dx.doi.org/10.1080/16583655.2019.1698276
work_keys_str_mv	AT ralshenawy anewoneparameterdistributionpropertiesandestimationwithapplicationstocompleteandtypeiicensoreddata AT ralshenawy newoneparameterdistributionpropertiesandestimationwithapplicationstocompleteandtypeiicensoreddata
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A new one parameter distribution: properties and estimation with applications to complete and type II censored data

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