The zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications

In this article, a new distribution for count data analysis is introduced. Firstly, the Discrete Transmuted Generalized Inverse Weibull distribution (DTGIW) is constructed. Consequently, some useful sub-models are discussed. Secondly, the ZeroTruncated Discrete Transmuted Generalized Inverse Weibul...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Atchanut Rattanalertnusorn, Sirinapa Aryuyuen
Formato:	article
Lenguaje:	EN
Publicado:	Prince of Songkla University 2021
Materias:	zero-truncated distribution discrete distribution dtgiw zt-dtgiw maximum likelihood count data zero-truncated data Technology T Technology (General) T1-995 Science Q Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/1bde874efa6c47d9b13c54e0c3d4bf74
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:1bde874efa6c47d9b13c54e0c3d4bf74
record_format	dspace
spelling	oai:doaj.org-article:1bde874efa6c47d9b13c54e0c3d4bf742021-11-07T17:09:45ZThe zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications10.14456/sjst-psu.2021.1490125-3395https://doaj.org/article/1bde874efa6c47d9b13c54e0c3d4bf742021-08-01T00:00:00Zhttps://rdo.psu.ac.th/sjstweb/journal/43-4/29.pdfhttps://doaj.org/toc/0125-3395In this article, a new distribution for count data analysis is introduced. Firstly, the Discrete Transmuted Generalized Inverse Weibull distribution (DTGIW) is constructed. Consequently, some useful sub-models are discussed. Secondly, the ZeroTruncated Discrete Transmuted Generalized Inverse Weibull distribution (ZT-DTGIW) is introduced. We present probability mass function of the proposed distribution and some plots of those functions for illustration the behaviors of the distribution. We employed the maximum likelihood estimation (MLE) technique for model parameter estimation. For the purpose of verification of the MLE performance, the simulation study of parameter estimation using MLE is illustrated. Finally, some real data sets are applied to illustrate the goodness of fit of the proposed distribution, which is compared with the zero-truncated discrete inverse Weibull and zero-truncated Poisson distributions.Atchanut RattanalertnusornSirinapa AryuyuenPrince of Songkla Universityarticlezero-truncated distributiondiscrete distributiondtgiwzt-dtgiwmaximum likelihoodcount datazero-truncated dataTechnologyTTechnology (General)T1-995ScienceQScience (General)Q1-390ENSongklanakarin Journal of Science and Technology (SJST), Vol 43, Iss 4, Pp 1140-1151 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	zero-truncated distribution discrete distribution dtgiw zt-dtgiw maximum likelihood count data zero-truncated data Technology T Technology (General) T1-995 Science Q Science (General) Q1-390
spellingShingle	zero-truncated distribution discrete distribution dtgiw zt-dtgiw maximum likelihood count data zero-truncated data Technology T Technology (General) T1-995 Science Q Science (General) Q1-390 Atchanut Rattanalertnusorn Sirinapa Aryuyuen The zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications
description	In this article, a new distribution for count data analysis is introduced. Firstly, the Discrete Transmuted Generalized Inverse Weibull distribution (DTGIW) is constructed. Consequently, some useful sub-models are discussed. Secondly, the ZeroTruncated Discrete Transmuted Generalized Inverse Weibull distribution (ZT-DTGIW) is introduced. We present probability mass function of the proposed distribution and some plots of those functions for illustration the behaviors of the distribution. We employed the maximum likelihood estimation (MLE) technique for model parameter estimation. For the purpose of verification of the MLE performance, the simulation study of parameter estimation using MLE is illustrated. Finally, some real data sets are applied to illustrate the goodness of fit of the proposed distribution, which is compared with the zero-truncated discrete inverse Weibull and zero-truncated Poisson distributions.
format	article
author	Atchanut Rattanalertnusorn Sirinapa Aryuyuen
author_facet	Atchanut Rattanalertnusorn Sirinapa Aryuyuen
author_sort	Atchanut Rattanalertnusorn
title	The zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications
title_short	The zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications
title_full	The zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications
title_fullStr	The zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications
title_full_unstemmed	The zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications
title_sort	zero-truncated discrete transmuted generalized inverse weibull distribution and its applications
publisher	Prince of Songkla University
publishDate	2021
url	https://doaj.org/article/1bde874efa6c47d9b13c54e0c3d4bf74
work_keys_str_mv	AT atchanutrattanalertnusorn thezerotruncateddiscretetransmutedgeneralizedinverseweibulldistributionanditsapplications AT sirinapaaryuyuen thezerotruncateddiscretetransmutedgeneralizedinverseweibulldistributionanditsapplications AT atchanutrattanalertnusorn zerotruncateddiscretetransmutedgeneralizedinverseweibulldistributionanditsapplications AT sirinapaaryuyuen zerotruncateddiscretetransmutedgeneralizedinverseweibulldistributionanditsapplications
_version_	1718443261217996800

The zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications

Ejemplares similares