Approximate Normality of Low Degree Polynomials in Normal Independent Variables

Detalhes bibliográficos
Autor(a) principal: Ferreira, Dário
Data de Publicação: 2012
Outros Autores: Ferreira, Sandra S., Nunes, Célia, Ramos, Luís, Mexia, João T.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/9140
Resumo: In this paper, we emphasize that polynomials are asymptotically linear functions and show, through Monte Carlo methods, that when the variation coefficients are small, low degree polynomials in normal independent variables are approximately normal. An application which illustrates the approach is presented.
id RCAP_598a8c2e97759abede4f0de7d0d4f530
oai_identifier_str oai:ubibliorum.ubi.pt:10400.6/9140
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str
spelling Approximate Normality of Low Degree Polynomials in Normal Independent VariablesAlmost surely convergenceApproximate normalityLow degree polynomialsIn this paper, we emphasize that polynomials are asymptotically linear functions and show, through Monte Carlo methods, that when the variation coefficients are small, low degree polynomials in normal independent variables are approximately normal. An application which illustrates the approach is presented.Pushpa Publishing HouseuBibliorumFerreira, DárioFerreira, Sandra S.Nunes, CéliaRamos, LuísMexia, João T.2020-02-07T15:40:18Z20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9140eng• Ferreira, D; Ferreira, Sandra S; Nunes C; Ramos, L. and Mexia, J. T. (2012). Approximate Normality of Low Degree Polynomials in Normal Independent Variables. Far East Journal of Mathematical Sciences Volume 68, Issue 2, pages 287-296.metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-01-16T11:54:50ZPortal AgregadorONG
dc.title.none.fl_str_mv Approximate Normality of Low Degree Polynomials in Normal Independent Variables
title Approximate Normality of Low Degree Polynomials in Normal Independent Variables
spellingShingle Approximate Normality of Low Degree Polynomials in Normal Independent Variables
Ferreira, Dário
Almost surely convergence
Approximate normality
Low degree polynomials
title_short Approximate Normality of Low Degree Polynomials in Normal Independent Variables
title_full Approximate Normality of Low Degree Polynomials in Normal Independent Variables
title_fullStr Approximate Normality of Low Degree Polynomials in Normal Independent Variables
title_full_unstemmed Approximate Normality of Low Degree Polynomials in Normal Independent Variables
title_sort Approximate Normality of Low Degree Polynomials in Normal Independent Variables
author Ferreira, Dário
author_facet Ferreira, Dário
Ferreira, Sandra S.
Nunes, Célia
Ramos, Luís
Mexia, João T.
author_role author
author2 Ferreira, Sandra S.
Nunes, Célia
Ramos, Luís
Mexia, João T.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Ferreira, Dário
Ferreira, Sandra S.
Nunes, Célia
Ramos, Luís
Mexia, João T.
dc.subject.por.fl_str_mv Almost surely convergence
Approximate normality
Low degree polynomials
topic Almost surely convergence
Approximate normality
Low degree polynomials
description In this paper, we emphasize that polynomials are asymptotically linear functions and show, through Monte Carlo methods, that when the variation coefficients are small, low degree polynomials in normal independent variables are approximately normal. An application which illustrates the approach is presented.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
2020-02-07T15:40:18Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/9140
url http://hdl.handle.net/10400.6/9140
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv • Ferreira, D; Ferreira, Sandra S; Nunes C; Ramos, L. and Mexia, J. T. (2012). Approximate Normality of Low Degree Polynomials in Normal Independent Variables. Far East Journal of Mathematical Sciences Volume 68, Issue 2, pages 287-296.
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Pushpa Publishing House
publisher.none.fl_str_mv Pushpa Publishing House
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1777301840677830656

Registros relacionados