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A Bayesian semiparametric model for non negative semicontinuous data

Emanuela Dreassi and Emilia Rocco

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 10, 5133-5146

Abstract: When the target variable exhibits a semicontinuous behavior (a point mass in a single value and a continuous distribution elsewhere), parametric “two-part models” have been extensively used and investigated. The applications have mainly been related to non negative variables with a point mass in zero (zero-inflated data). In this article, a semiparametric Bayesian two-part model for dealing with such variables is proposed. The model allows a semiparametric expression for the two parts of the model by using Dirichlet processes. A motivating example, based on grape wine production in Tuscany (an Italian region), is used to show the capabilities of the model. Finally, two simulation experiments evaluate the model. Results show a satisfactory performance of the suggested approach for modeling and predicting semicontinuous data when parametric assumptions are not reasonable.

Date: 2017
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DOI: 10.1080/03610926.2015.1096389

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