Double bounded Kumaraswamy-power series class of distributions

In this paper, we will introduce the new Kumaraswamy-power series class of distributions. This new class is obtained by compounding the Kumaraswamy distribution of Kumaraswamy (1980) and the family of power series distributions. The new class contains some new double bounded distributions such as th...

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Authors: Bidram, Hamid, Nekoukhou, Vahid
Format: article
Publication Date:2013
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/88429
Online Access:https://hdl.handle.net/2117/88429
Access Level:Open access
Keyword:Kumaraswamy distribution
Maximum likelihood estimation
Power series distributions
Uniform-power series distributions
Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory
Classificació AMS::62 Statistics::62E Distribution theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
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repository_id_str
spelling Double bounded Kumaraswamy-power series class of distributionsBidram, HamidNekoukhou, VahidKumaraswamy distributionMaximum likelihood estimationPower series distributionsUniform-power series distributionsClassificació AMS::60 Probability theory and stochastic processes::60E Distribution theoryClassificació AMS::62 Statistics::62E Distribution theoryÀrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàticaIn this paper, we will introduce the new Kumaraswamy-power series class of distributions. This new class is obtained by compounding the Kumaraswamy distribution of Kumaraswamy (1980) and the family of power series distributions. The new class contains some new double bounded distributions such as the Kumaraswamy-geometric, -Poisson, -logarithmic and -binomial, which are used widely in hydrology and related areas. In addition, the corresponding hazard rate function of the new class can be increasing, decreasing, bathtub and upside-down bathtub. Some basic properties of this class of distributions such as the moment generating function, moments and order statistics are studied. Some special members of the class are also investigated in detail. The maximum likelihood method is used for estimating the unknown parameters of the members of the new class. Finally, an application of the proposed class is illustrated using a real data set.Peer ReviewedInstitut d'Estadística de Catalunya20132013-01-0120162016-06-30journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/88429reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/884292026-05-27T15:37:01Z
dc.title.none.fl_str_mv Double bounded Kumaraswamy-power series class of distributions
title Double bounded Kumaraswamy-power series class of distributions
spellingShingle Double bounded Kumaraswamy-power series class of distributions
Bidram, Hamid
Kumaraswamy distribution
Maximum likelihood estimation
Power series distributions
Uniform-power series distributions
Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory
Classificació AMS::62 Statistics::62E Distribution theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
title_short Double bounded Kumaraswamy-power series class of distributions
title_full Double bounded Kumaraswamy-power series class of distributions
title_fullStr Double bounded Kumaraswamy-power series class of distributions
title_full_unstemmed Double bounded Kumaraswamy-power series class of distributions
title_sort Double bounded Kumaraswamy-power series class of distributions
dc.creator.none.fl_str_mv Bidram, Hamid
Nekoukhou, Vahid
author Bidram, Hamid
author_facet Bidram, Hamid
Nekoukhou, Vahid
author_role author
author2 Nekoukhou, Vahid
author2_role author
dc.subject.none.fl_str_mv Kumaraswamy distribution
Maximum likelihood estimation
Power series distributions
Uniform-power series distributions
Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory
Classificació AMS::62 Statistics::62E Distribution theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
topic Kumaraswamy distribution
Maximum likelihood estimation
Power series distributions
Uniform-power series distributions
Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory
Classificació AMS::62 Statistics::62E Distribution theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
description In this paper, we will introduce the new Kumaraswamy-power series class of distributions. This new class is obtained by compounding the Kumaraswamy distribution of Kumaraswamy (1980) and the family of power series distributions. The new class contains some new double bounded distributions such as the Kumaraswamy-geometric, -Poisson, -logarithmic and -binomial, which are used widely in hydrology and related areas. In addition, the corresponding hazard rate function of the new class can be increasing, decreasing, bathtub and upside-down bathtub. Some basic properties of this class of distributions such as the moment generating function, moments and order statistics are studied. Some special members of the class are also investigated in detail. The maximum likelihood method is used for estimating the unknown parameters of the members of the new class. Finally, an application of the proposed class is illustrated using a real data set.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01
2016
2016-06-30
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/88429
url https://hdl.handle.net/2117/88429
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institut d'Estadística de Catalunya
publisher.none.fl_str_mv Institut d'Estadística de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869411620010065920
score 15,301603

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