Name: Exponentiated power Maxwell distribution with quantile regression and applications
Keywords: Classificació AMS::62 Statistics::62J Linear inference, 62E Teoria de la distribució, quantile regression, 62J Inferència lineal, regressió, Classificació AMS::62 Statistics::62J Linear inference, regression, Mathematical statistics ; Regression analysis, Mathematical statistics, Maxwell distribution, Exponentiated distributions, Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2021 English Publisher:Institut d'Estadística de Catalunya

Authors: Gallardo, Diego I.; Gómez, Yolanda M.; Segovia, Francisco A.;

handle: 2117/397825

Exponentiated power Maxwell distribution with quantile regression and applications

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Abstract

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.

Peer Reviewed

Related Organizations

Universitat Politècnica de Catalunya
Spain
Universitat Polite`cnica de Catalunya
Spain
Autonomous University of Barcelona
Spain

Keywords

Classificació AMS::62 Statistics::62J Linear inference, 62E Teoria de la distribució, quantile regression, 62J Inferència lineal, regressió, Classificació AMS::62 Statistics::62J Linear inference, regression, Mathematical statistics ; Regression analysis, Mathematical statistics, Maxwell distribution, Exponentiated distributions, Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica, Classificació AMS::62 Statistics::62E Distribution theory, Quantile regression, Distribution (Probability theory), regression, exponentiated distributions, regressió, maximum likelihood, 62J Inferència lineal, Regression analysis, Maximum likelihood

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