Alpha power inverse Weibull distribution with reliability application
In this paper, we use the method of the alpha power transformation to introduce a new generalized alpha power inverse Weibull (APIW) distribution. Its characterization and statistical properties are obtained, such as reliability, moments, entropy and order statistics. Moreover, the estimation of the...
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2019-12-01
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Online Access: | http://dx.doi.org/10.1080/16583655.2019.1588488 |
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doaj-1c729733dd514e3e9608f457a00906892020-11-25T02:12:58ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552019-12-0113142343210.1080/16583655.2019.15884881588488Alpha power inverse Weibull distribution with reliability applicationAbdulkareem M. Basheer0Albayda UniversityIn this paper, we use the method of the alpha power transformation to introduce a new generalized alpha power inverse Weibull (APIW) distribution. Its characterization and statistical properties are obtained, such as reliability, moments, entropy and order statistics. Moreover, the estimation of the APIW parameters is discussed by using maximum likelihood estimation method. Finally, the application of the proposed new distribution to a real data representing the waiting time before customer service in the bank is given and its goodness-of-fit is demonstrated. In addition, comparisons to other models are carried out to illustrate the flexibility of the proposed model.http://dx.doi.org/10.1080/16583655.2019.1588488alpha power transformationinverse weibull distributionreliabilitymomentsmaximum likelihood estimationsimulation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Abdulkareem M. Basheer |
spellingShingle |
Abdulkareem M. Basheer Alpha power inverse Weibull distribution with reliability application Journal of Taibah University for Science alpha power transformation inverse weibull distribution reliability moments maximum likelihood estimation simulation |
author_facet |
Abdulkareem M. Basheer |
author_sort |
Abdulkareem M. Basheer |
title |
Alpha power inverse Weibull distribution with reliability application |
title_short |
Alpha power inverse Weibull distribution with reliability application |
title_full |
Alpha power inverse Weibull distribution with reliability application |
title_fullStr |
Alpha power inverse Weibull distribution with reliability application |
title_full_unstemmed |
Alpha power inverse Weibull distribution with reliability application |
title_sort |
alpha power inverse weibull distribution with reliability application |
publisher |
Taylor & Francis Group |
series |
Journal of Taibah University for Science |
issn |
1658-3655 |
publishDate |
2019-12-01 |
description |
In this paper, we use the method of the alpha power transformation to introduce a new generalized alpha power inverse Weibull (APIW) distribution. Its characterization and statistical properties are obtained, such as reliability, moments, entropy and order statistics. Moreover, the estimation of the APIW parameters is discussed by using maximum likelihood estimation method. Finally, the application of the proposed new distribution to a real data representing the waiting time before customer service in the bank is given and its goodness-of-fit is demonstrated. In addition, comparisons to other models are carried out to illustrate the flexibility of the proposed model. |
topic |
alpha power transformation inverse weibull distribution reliability moments maximum likelihood estimation simulation |
url |
http://dx.doi.org/10.1080/16583655.2019.1588488 |
work_keys_str_mv |
AT abdulkareemmbasheer alphapowerinverseweibulldistributionwithreliabilityapplication |
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1724907080667627520 |