On some general distributions in terms of generalized functions

In this paper, a general distribution derived from a generalized Bessel function, together with a generalized Beta distribution are discussed. An alternate method for obtaining the distribution of the sum of n independent random variables for the first distribution is obtained. Three of the paramete...

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Autores:
Lingappaiah, G. S.
Tipo de recurso:
Article of journal
Fecha de publicación:
1978
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42538
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42538
http://bdigital.unal.edu.co/32635/
Palabra clave:
Bessel function
alternative
sum distribution
independent random variables
beta distribution
generalized hypergeometric function
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_7bd4929b603290ce6d2f71dca8c7d99b
oai_identifier_str oai:repositorio.unal.edu.co:unal/42538
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Lingappaiah, G. S.7e9b54d2-8098-4fae-9722-ff1ede61c0e73002019-06-28T10:55:27Z2019-06-28T10:55:27Z1978https://repositorio.unal.edu.co/handle/unal/42538http://bdigital.unal.edu.co/32635/In this paper, a general distribution derived from a generalized Bessel function, together with a generalized Beta distribution are discussed. An alternate method for obtaining the distribution of the sum of n independent random variables for the first distribution is obtained. Three of the parameters in this distribution are estimated by different methods under certain conditions. Distribution of maxima and mínima are also considered. For the generalized Beta distribution, esti mates are put in closed form in terms of the generalized hypergeometric function FA.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32187Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 12, núm. 3-4 (1978); 97-112 0034-7426Lingappaiah, G. S. (1978) On some general distributions in terms of generalized functions. Revista Colombiana de Matemáticas; Vol. 12, núm. 3-4 (1978); 97-112 0034-7426 .On some general distributions in terms of generalized functionsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTBessel functionalternativesum distributionindependent random variablesbeta distributiongeneralized hypergeometric functionORIGINAL32187-118533-1-PB.pdfapplication/pdf3916489https://repositorio.unal.edu.co/bitstream/unal/42538/1/32187-118533-1-PB.pdf304cf48ec47e7b6d8678162e0cf28ef0MD51THUMBNAIL32187-118533-1-PB.pdf.jpg32187-118533-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6561https://repositorio.unal.edu.co/bitstream/unal/42538/2/32187-118533-1-PB.pdf.jpg35feeffef69272d69297d4e9289598f7MD52unal/42538oai:repositorio.unal.edu.co:unal/425382024-02-05 23:07:04.163Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On some general distributions in terms of generalized functions
title On some general distributions in terms of generalized functions
spellingShingle On some general distributions in terms of generalized functions
Bessel function
alternative
sum distribution
independent random variables
beta distribution
generalized hypergeometric function
title_short On some general distributions in terms of generalized functions
title_full On some general distributions in terms of generalized functions
title_fullStr On some general distributions in terms of generalized functions
title_full_unstemmed On some general distributions in terms of generalized functions
title_sort On some general distributions in terms of generalized functions
dc.creator.fl_str_mv Lingappaiah, G. S.
dc.contributor.author.spa.fl_str_mv Lingappaiah, G. S.
dc.subject.proposal.spa.fl_str_mv Bessel function
alternative
sum distribution
independent random variables
beta distribution
generalized hypergeometric function
topic Bessel function
alternative
sum distribution
independent random variables
beta distribution
generalized hypergeometric function
description In this paper, a general distribution derived from a generalized Bessel function, together with a generalized Beta distribution are discussed. An alternate method for obtaining the distribution of the sum of n independent random variables for the first distribution is obtained. Three of the parameters in this distribution are estimated by different methods under certain conditions. Distribution of maxima and mínima are also considered. For the generalized Beta distribution, esti mates are put in closed form in terms of the generalized hypergeometric function FA.
publishDate 1978
dc.date.issued.spa.fl_str_mv 1978
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:55:27Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:55:27Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/42538
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/32635/
url https://repositorio.unal.edu.co/handle/unal/42538
http://bdigital.unal.edu.co/32635/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/32187
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 12, núm. 3-4 (1978); 97-112 0034-7426
dc.relation.references.spa.fl_str_mv Lingappaiah, G. S. (1978) On some general distributions in terms of generalized functions. Revista Colombiana de Matemáticas; Vol. 12, núm. 3-4 (1978); 97-112 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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