A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer Dataset

Detalhes bibliográficos
Autor(a) principal: Shibu, D. S.
Data de Publicação: 2024
Outros Autores: Nitin, S. L., Irshad, M. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://doi.org/10.57805/revstat.v22i1.436
Resumo: In this article, we studied a generalization of the log-normal distribution called Zografos-Balakrishnan log-normal distribution and investigate its various important properties and functions including moments, quantile function, various reliability measures, Rényi entropy, and some inequality measures. The estimation of unknown parameters is discussed by the methods of maximum likelihood, and the Bayesian technique and their simulation studies are also carried out. The applicability of the distribution is illustrated utilizing a real dataset. A likelihood ratio test is utilized for testing the efficiency of the third parameter. The effectiveness of this model for the dataset is also established using the parametric bootstrap approach.
id RCAP_48cd817c066138459a853e79c85ada85
oai_identifier_str oai:revstat:article/436
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer DatasetZografos-Balakrishnan-G familyreliability measuresmaximum likelihood estimationBayesian estimationbootstrap confidence intervallikelihood ratio testIn this article, we studied a generalization of the log-normal distribution called Zografos-Balakrishnan log-normal distribution and investigate its various important properties and functions including moments, quantile function, various reliability measures, Rényi entropy, and some inequality measures. The estimation of unknown parameters is discussed by the methods of maximum likelihood, and the Bayesian technique and their simulation studies are also carried out. The applicability of the distribution is illustrated utilizing a real dataset. A likelihood ratio test is utilized for testing the efficiency of the third parameter. The effectiveness of this model for the dataset is also established using the parametric bootstrap approach.Statistics Portugal2024-02-22info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.57805/revstat.v22i1.436https://doi.org/10.57805/revstat.v22i1.436REVSTAT-Statistical Journal; Vol. 22 No. 1 (2024): REVSTAT-Statistical Journal; 1–24REVSTAT; Vol. 22 N.º 1 (2024): REVSTAT-Statistical Journal; 1–242183-03711645-6726reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAPenghttps://revstat.ine.pt/index.php/REVSTAT/article/view/436https://revstat.ine.pt/index.php/REVSTAT/article/view/436/681Shibu, D. S.Nitin, S. L.Irshad, M. R.info:eu-repo/semantics/openAccess2024-02-24T07:12:39Zoai:revstat:article/436Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:11:18.278800Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer Dataset
title A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer Dataset
spellingShingle A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer Dataset
Shibu, D. S.
Zografos-Balakrishnan-G family
reliability measures
maximum likelihood estimation
Bayesian estimation
bootstrap confidence interval
likelihood ratio test
title_short A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer Dataset
title_full A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer Dataset
title_fullStr A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer Dataset
title_full_unstemmed A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer Dataset
title_sort A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer Dataset
author Shibu, D. S.
author_facet Shibu, D. S.
Nitin, S. L.
Irshad, M. R.
author_role author
author2 Nitin, S. L.
Irshad, M. R.
author2_role author
author
dc.contributor.author.fl_str_mv Shibu, D. S.
Nitin, S. L.
Irshad, M. R.
dc.subject.por.fl_str_mv Zografos-Balakrishnan-G family
reliability measures
maximum likelihood estimation
Bayesian estimation
bootstrap confidence interval
likelihood ratio test
topic Zografos-Balakrishnan-G family
reliability measures
maximum likelihood estimation
Bayesian estimation
bootstrap confidence interval
likelihood ratio test
description In this article, we studied a generalization of the log-normal distribution called Zografos-Balakrishnan log-normal distribution and investigate its various important properties and functions including moments, quantile function, various reliability measures, Rényi entropy, and some inequality measures. The estimation of unknown parameters is discussed by the methods of maximum likelihood, and the Bayesian technique and their simulation studies are also carried out. The applicability of the distribution is illustrated utilizing a real dataset. A likelihood ratio test is utilized for testing the efficiency of the third parameter. The effectiveness of this model for the dataset is also established using the parametric bootstrap approach.
publishDate 2024
dc.date.none.fl_str_mv 2024-02-22
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 https://doi.org/10.57805/revstat.v22i1.436
https://doi.org/10.57805/revstat.v22i1.436
url https://doi.org/10.57805/revstat.v22i1.436
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revstat.ine.pt/index.php/REVSTAT/article/view/436
https://revstat.ine.pt/index.php/REVSTAT/article/view/436/681
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Statistics Portugal
publisher.none.fl_str_mv Statistics Portugal
dc.source.none.fl_str_mv REVSTAT-Statistical Journal; Vol. 22 No. 1 (2024): REVSTAT-Statistical Journal; 1–24
REVSTAT; Vol. 22 N.º 1 (2024): REVSTAT-Statistical Journal; 1–24
2183-0371
1645-6726
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 Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799137763345301504

Registros relacionados