A general class of zero-or-one inflated beta regression models

Raydonal Ospina and Silvia L.P. Ferrari

Computational Statistics & Data Analysis, 2012, vol. 56, issue 6, 1609-1623

Abstract: This paper proposes a general class of regression models for continuous proportions when the data contain zeros or ones. The proposed class of models assumes that the response variable has a mixed continuous–discrete distribution with probability mass at zero or one. The beta distribution is used to describe the continuous component of the model, since its density has a wide range of different shapes depending on the values of the two parameters that index the distribution. We use a suitable parameterization of the beta law in terms of its mean and a precision parameter. The parameters of the mixture distribution are modeled as functions of regression parameters. We provide inference, diagnostic, and model selection tools for this class of models. A practical application that employs real data is presented.

Keywords: Continuous proportions; Zero-or-one inflated beta distribution; Fractional data; Maximum likelihood estimation; Diagnostics; Residuals (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (83)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:56:y:2012:i:6:p:1609-1623

DOI: 10.1016/j.csda.2011.10.005

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