On some distributions involving general functions

In this note, two aspects in relation to distribution involving general functions are considered. Firstly, the distribution of the sum and also the ratio of two independent radom variables with densities including  ∅2 (a1,.... an; S; λ1 x, .. , λn x) and ψ2 (p ; b1 ..., bn ; t1 u .... tn y) is dealt...

Full description

Autores:
Lingappaiah, G. S.
Tipo de recurso:
Article of journal
Fecha de publicación:
1975
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42425
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42425
http://bdigital.unal.edu.co/32522/
Palabra clave:
distribution in volving
general functions
distribution sum
general function
Bessel function
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/42425
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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-ff1ede61c0e73002019-06-28T10:49:04Z2019-06-28T10:49:04Z1975https://repositorio.unal.edu.co/handle/unal/42425http://bdigital.unal.edu.co/32522/In this note, two aspects in relation to distribution involving general functions are considered. Firstly, the distribution of the sum and also the ratio of two independent radom variables with densities including  ∅2 (a1,.... an; S; λ1 x, .. , λn x) and ψ2 (p ; b1 ..., bn ; t1 u .... tn y) is dealt with. The speciol case of n=2  is considered.  Also, the distribution oI the sum of variables with ∅2 and ∅3 as their densities is obtained. The second aspect is estimation. In ∅2 , a parameter is estimated and the estimate is put in the closed form in terms of the general function ψ2. Also, the Bayes estimate in the distribution involving the Bessel function Ip(cx) is obtained and is expressed in terms of another general function FA.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32055Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 9, núm. 3-4 (1975); 115-124 0034-7426Lingappaiah, G. S. (1975) On some distributions involving general functions. Revista Colombiana de Matemáticas; Vol. 9, núm. 3-4 (1975); 115-124 0034-7426 .On some distributions involving general 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/ARTdistribution in volvinggeneral functionsdistribution sumgeneral functionBessel functionORIGINAL32055-117665-1-PB.pdfapplication/pdf1967093https://repositorio.unal.edu.co/bitstream/unal/42425/1/32055-117665-1-PB.pdf65939ed9902792da6dc36bd11608572eMD51THUMBNAIL32055-117665-1-PB.pdf.jpg32055-117665-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5695https://repositorio.unal.edu.co/bitstream/unal/42425/2/32055-117665-1-PB.pdf.jpgff8126e94854e54a7108b50a1f38676eMD52unal/42425oai:repositorio.unal.edu.co:unal/424252023-02-07 23:06:16.688Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On some distributions involving general functions
title On some distributions involving general functions
spellingShingle On some distributions involving general functions
distribution in volving
general functions
distribution sum
general function
Bessel function
title_short On some distributions involving general functions
title_full On some distributions involving general functions
title_fullStr On some distributions involving general functions
title_full_unstemmed On some distributions involving general functions
title_sort On some distributions involving general 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 distribution in volving
general functions
distribution sum
general function
Bessel function
topic distribution in volving
general functions
distribution sum
general function
Bessel function
description In this note, two aspects in relation to distribution involving general functions are considered. Firstly, the distribution of the sum and also the ratio of two independent radom variables with densities including  ∅2 (a1,.... an; S; λ1 x, .. , λn x) and ψ2 (p ; b1 ..., bn ; t1 u .... tn y) is dealt with. The speciol case of n=2  is considered.  Also, the distribution oI the sum of variables with ∅2 and ∅3 as their densities is obtained. The second aspect is estimation. In ∅2 , a parameter is estimated and the estimate is put in the closed form in terms of the general function ψ2. Also, the Bayes estimate in the distribution involving the Bessel function Ip(cx) is obtained and is expressed in terms of another general function FA.
publishDate 1975
dc.date.issued.spa.fl_str_mv 1975
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:49:04Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:49:04Z
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
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dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/32522/
url https://repositorio.unal.edu.co/handle/unal/42425
http://bdigital.unal.edu.co/32522/
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/32055
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. 9, núm. 3-4 (1975); 115-124 0034-7426
dc.relation.references.spa.fl_str_mv Lingappaiah, G. S. (1975) On some distributions involving general functions. Revista Colombiana de Matemáticas; Vol. 9, núm. 3-4 (1975); 115-124 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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