A new truncated lindley-generated family of distributions : properties, regression analysis, and applications
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UnB |
Texto Completo: | http://repositorio2.unb.br/jspui/handle/10482/48398 https://doi.org/10.3390/e25091359 https://orcid.org/0000-0002-7332-0334 https://orcid.org/0000-0002-1985-8141 https://orcid.org/0000-0003-3999-7402 https://orcid.org/0000-0003-1073-0114 https://orcid.org/0000-0003-1323-5346 |
Resumo: | We present the truncated Lindley-G (TLG) model, a novel class of probability distributions with an additional shape parameter, by composing a unit distribution called the truncated Lindley distribution with a parent distribution function (). The proposed model’s characteristics including critical points, moments, generating function, quantile function, mean deviations, and entropy are discussed. Also, we introduce a regression model based on the truncated Lindley–Weibull distribution considering two systematic components. The model parameters are estimated using the maximum likelihood method. In order to investigate the behavior of the estimators, some simulations are run for various parameter settings, censoring percentages, and sample sizes. Four real datasets are used to demonstrate the new model’s potential. |
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A new truncated lindley-generated family of distributions : properties, regression analysis, and applicationsDados censuradosAnálise de sobrevivênciaMáxima verossimilhançaCovid-19We present the truncated Lindley-G (TLG) model, a novel class of probability distributions with an additional shape parameter, by composing a unit distribution called the truncated Lindley distribution with a parent distribution function (). The proposed model’s characteristics including critical points, moments, generating function, quantile function, mean deviations, and entropy are discussed. Also, we introduce a regression model based on the truncated Lindley–Weibull distribution considering two systematic components. The model parameters are estimated using the maximum likelihood method. In order to investigate the behavior of the estimators, some simulations are run for various parameter settings, censoring percentages, and sample sizes. Four real datasets are used to demonstrate the new model’s potential.Instituto de Ciências Exatas (IE)Departamento de Estatística (IE EST)MDPIAlexandria University, Department of Mathematics and Computer ScienceKing Khalid University, College of Business, Department of Business AdministrationUniversity of São Paulo, Piracicaba, Department of Exact SciencesUniversity of Brasilia, Department of StatisticsKing Khalid University, College of Business, Department of Business AdministrationHussein, MohamedRodrigues, Gabriela MariaOrtega, Edwin M. M.Vila, RobertoElsayed, Howaida2024-06-25T11:56:11Z2024-06-25T11:56:11Z2023info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfHUSSEIN, Mohamed et al. A new truncated lindley-generated family of distributions: properties, regression analysis, and applications. Entropy, [S. l.], v. 25, n. 9, 1359, 2023. DOI: https://doi.org/10.3390/e25091359. Disponível em: https://www.mdpi.com/1099-4300/25/9/1359. Acesso em: 25 jun. 2024.http://repositorio2.unb.br/jspui/handle/10482/48398https://doi.org/10.3390/e25091359https://orcid.org/0000-0002-7332-0334https://orcid.org/0000-0002-1985-8141https://orcid.org/0000-0003-3999-7402https://orcid.org/0000-0003-1073-0114https://orcid.org/0000-0003-1323-5346eng© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UnBinstname:Universidade de Brasília (UnB)instacron:UNB2024-06-25T11:56:11Zoai:repositorio.unb.br:10482/48398Repositório InstitucionalPUBhttps://repositorio.unb.br/oai/requestrepositorio@unb.bropendoar:2024-06-25T11:56:11Repositório Institucional da UnB - Universidade de Brasília (UnB)false |
dc.title.none.fl_str_mv |
A new truncated lindley-generated family of distributions : properties, regression analysis, and applications |
title |
A new truncated lindley-generated family of distributions : properties, regression analysis, and applications |
spellingShingle |
A new truncated lindley-generated family of distributions : properties, regression analysis, and applications Hussein, Mohamed Dados censurados Análise de sobrevivência Máxima verossimilhança Covid-19 |
title_short |
A new truncated lindley-generated family of distributions : properties, regression analysis, and applications |
title_full |
A new truncated lindley-generated family of distributions : properties, regression analysis, and applications |
title_fullStr |
A new truncated lindley-generated family of distributions : properties, regression analysis, and applications |
title_full_unstemmed |
A new truncated lindley-generated family of distributions : properties, regression analysis, and applications |
title_sort |
A new truncated lindley-generated family of distributions : properties, regression analysis, and applications |
author |
Hussein, Mohamed |
author_facet |
Hussein, Mohamed Rodrigues, Gabriela Maria Ortega, Edwin M. M. Vila, Roberto Elsayed, Howaida |
author_role |
author |
author2 |
Rodrigues, Gabriela Maria Ortega, Edwin M. M. Vila, Roberto Elsayed, Howaida |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Alexandria University, Department of Mathematics and Computer Science King Khalid University, College of Business, Department of Business Administration University of São Paulo, Piracicaba, Department of Exact Sciences University of Brasilia, Department of Statistics King Khalid University, College of Business, Department of Business Administration |
dc.contributor.author.fl_str_mv |
Hussein, Mohamed Rodrigues, Gabriela Maria Ortega, Edwin M. M. Vila, Roberto Elsayed, Howaida |
dc.subject.por.fl_str_mv |
Dados censurados Análise de sobrevivência Máxima verossimilhança Covid-19 |
topic |
Dados censurados Análise de sobrevivência Máxima verossimilhança Covid-19 |
description |
We present the truncated Lindley-G (TLG) model, a novel class of probability distributions with an additional shape parameter, by composing a unit distribution called the truncated Lindley distribution with a parent distribution function (). The proposed model’s characteristics including critical points, moments, generating function, quantile function, mean deviations, and entropy are discussed. Also, we introduce a regression model based on the truncated Lindley–Weibull distribution considering two systematic components. The model parameters are estimated using the maximum likelihood method. In order to investigate the behavior of the estimators, some simulations are run for various parameter settings, censoring percentages, and sample sizes. Four real datasets are used to demonstrate the new model’s potential. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023 2024-06-25T11:56:11Z 2024-06-25T11:56:11Z |
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 |
HUSSEIN, Mohamed et al. A new truncated lindley-generated family of distributions: properties, regression analysis, and applications. Entropy, [S. l.], v. 25, n. 9, 1359, 2023. DOI: https://doi.org/10.3390/e25091359. Disponível em: https://www.mdpi.com/1099-4300/25/9/1359. Acesso em: 25 jun. 2024. http://repositorio2.unb.br/jspui/handle/10482/48398 https://doi.org/10.3390/e25091359 https://orcid.org/0000-0002-7332-0334 https://orcid.org/0000-0002-1985-8141 https://orcid.org/0000-0003-3999-7402 https://orcid.org/0000-0003-1073-0114 https://orcid.org/0000-0003-1323-5346 |
identifier_str_mv |
HUSSEIN, Mohamed et al. A new truncated lindley-generated family of distributions: properties, regression analysis, and applications. Entropy, [S. l.], v. 25, n. 9, 1359, 2023. DOI: https://doi.org/10.3390/e25091359. Disponível em: https://www.mdpi.com/1099-4300/25/9/1359. Acesso em: 25 jun. 2024. |
url |
http://repositorio2.unb.br/jspui/handle/10482/48398 https://doi.org/10.3390/e25091359 https://orcid.org/0000-0002-7332-0334 https://orcid.org/0000-0002-1985-8141 https://orcid.org/0000-0003-3999-7402 https://orcid.org/0000-0003-1073-0114 https://orcid.org/0000-0003-1323-5346 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
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 |
MDPI |
publisher.none.fl_str_mv |
MDPI |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UnB instname:Universidade de Brasília (UnB) instacron:UNB |
instname_str |
Universidade de Brasília (UnB) |
instacron_str |
UNB |
institution |
UNB |
reponame_str |
Repositório Institucional da UnB |
collection |
Repositório Institucional da UnB |
repository.name.fl_str_mv |
Repositório Institucional da UnB - Universidade de Brasília (UnB) |
repository.mail.fl_str_mv |
repositorio@unb.br |
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