Exponentiated power Maxwell distribution with quantile regression and applications
In this paper we introduce an extension of the power Maxwell distribution. We also discuss a reparametrized version of this model applied to quantile regression. Some properties of the model and estimation based on the maximum likelihood estimation method are studied. We also present a simulation st...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/397825 |
| Acesso em linha: | https://hdl.handle.net/2117/397825 https://dx.doi.org/10.2436/20.8080.02.115 |
| Access Level: | acceso abierto |
| Palavra-chave: | Mathematical statistics Regression analysis Distribution (Probability theory) Maxwell distribution exponentiated distributions maximum likelihood quantile regression 62E Teoria de la distribució 62J Inferència lineal, regressió Classificació AMS::62 Statistics::62E Distribution theory Classificació AMS::62 Statistics::62J Linear inference, regression Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica |
| Resumo: | In this paper we introduce an extension of the power Maxwell distribution. We also discuss a reparametrized version of this model applied to quantile regression. Some properties of the model and estimation based on the maximum likelihood estimation method are studied. We also present a simulation study to assess the performance of estimators in such finite samples, and two applications to real data sets to illustrate the model. |
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