Quantile Regression for positive data using a general class of distributions

Abstract

This paper presents a general class of quantile regression models for positive continuous data. In this class of models we consider that the response variable has a IRON distribution. We provide inference and diagnostic tools for this class of models. An R package, called IRON, was implemented. This package provides estimation and inference for the parameters and tools useful to check the fit of models. The methods are also illustrated with an application to modeling household income in Chile.