Flexible quantile regression models: application to the study of the purple sea urchin

In many applications, it is often of interest to assess the possible relationships between covariates and quantiles of a response variable through a regression model. In some instances, the effects of continuous covariates on the outcome are highly nonlinear. Consequently, appropriate modelling has...

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Detalhes bibliográficos
Autores: Martínez-Silva, Isabel, Roca-Pardiñas, Javier, Lustres-Pérez, Vicente, Lorenzo-Arribas, Altea, Cadarso-Suárez, Carmen
Formato: artículo
Fecha de publicación:2013
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:2099/13770
Acesso em linha:https://hdl.handle.net/2099/13770
Access Level:acceso abierto
Palavra-chave:Mathematical statistics
boosting
quantile regression
reference curves
smoothness
Estadística matemàtica
Classificació AMS::62 Statistics::62G Nonparametric inference
Classificació AMS::62 Statistics::62J Linear inference, regression
Classificació AMS::62 Statistics::62P Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
Descrição
Resumo:In many applications, it is often of interest to assess the possible relationships between covariates and quantiles of a response variable through a regression model. In some instances, the effects of continuous covariates on the outcome are highly nonlinear. Consequently, appropriate modelling has to take such flexible smooth effects into account. In this work, various flexible quantile regression techniques were reviewed and compared by simulation. Finally, all the techniques were used to construct the overall zone specific reference curves of morphologic measures of sea urchin Paracentrotus lividus (Lamarck, 1816) located in NW Spain