A new Pareto-type distribution with applications in reliability and income data

A new Pareto-type distribution is introduced and studied. This new model is a generalization of the well-known Pareto distribution. We derive some of its probabilistic and inferential properties. We deduce the mathematical form of the Lorenz curve and the Gini index associated with the new model....

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Principais autores:	Bourguignon, Marcelo, Saulo, Helton, Fernandez, Rodrigo Nobre
Formato:	article
Idioma:	English
Publicado em:	Physica A
Assuntos:	Pareto distribution Income distribution Maximum likelihood estimation Gini coefficient Reliability
Endereço do item:	https://repositorio.ufrn.br/handle/123456789/49698 https://doi.org/10.1016/j.stamet.2016.01.002
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spelling	ri-123456789-496982022-11-09T18:40:49Z A new Pareto-type distribution with applications in reliability and income data Bourguignon, Marcelo Saulo, Helton Fernandez, Rodrigo Nobre Pareto distribution Income distribution Maximum likelihood estimation Gini coefficient Reliability A new Pareto-type distribution is introduced and studied. This new model is a generalization of the well-known Pareto distribution. We derive some of its probabilistic and inferential properties. We deduce the mathematical form of the Lorenz curve and the Gini index associated with the new model. The maximum likelihood estimators are derived and their performance are evaluated through a Monte Carlo simulation study. Finally, we illustrate the flexibility of the new distribution by means of three applications to real data sets. 2022-11-09T18:38:58Z 2022-11-09T18:38:58Z 2016-04 article BOURGUIGNON, Marcelo S.; SAULO, Helton; FERNANDEZ, Rodrigo N. A new Pareto-type distribution with applications in reliability and income data. Physica A, v. 457, p. 166-175, 2016. Disponível em: http://www.sciencedirect.com/science/article/pii/S0378437116300413?via%3Dihub. Acesso em: 07 dez. 2017 https://repositorio.ufrn.br/handle/123456789/49698 https://doi.org/10.1016/j.stamet.2016.01.002 en Acesso Aberto Physica A
institution	Repositório Institucional
collection	RI - UFRN
language	English
topic	Pareto distribution Income distribution Maximum likelihood estimation Gini coefficient Reliability
spellingShingle	Pareto distribution Income distribution Maximum likelihood estimation Gini coefficient Reliability Bourguignon, Marcelo Saulo, Helton Fernandez, Rodrigo Nobre A new Pareto-type distribution with applications in reliability and income data
description	A new Pareto-type distribution is introduced and studied. This new model is a generalization of the well-known Pareto distribution. We derive some of its probabilistic and inferential properties. We deduce the mathematical form of the Lorenz curve and the Gini index associated with the new model. The maximum likelihood estimators are derived and their performance are evaluated through a Monte Carlo simulation study. Finally, we illustrate the flexibility of the new distribution by means of three applications to real data sets.
format	article
author	Bourguignon, Marcelo Saulo, Helton Fernandez, Rodrigo Nobre
author_facet	Bourguignon, Marcelo Saulo, Helton Fernandez, Rodrigo Nobre
author_sort	Bourguignon, Marcelo
title	A new Pareto-type distribution with applications in reliability and income data
title_short	A new Pareto-type distribution with applications in reliability and income data
title_full	A new Pareto-type distribution with applications in reliability and income data
title_fullStr	A new Pareto-type distribution with applications in reliability and income data
title_full_unstemmed	A new Pareto-type distribution with applications in reliability and income data
title_sort	new pareto-type distribution with applications in reliability and income data
publisher	Physica A
publishDate	2022
url	https://repositorio.ufrn.br/handle/123456789/49698 https://doi.org/10.1016/j.stamet.2016.01.002
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A new Pareto-type distribution with applications in reliability and income data

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