A class of residuals for outlier identification in zero adjusted regression models |
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| Authors: | Gustavo H. A. Pereira,Juliana Scudilio,Manoel Santos-Neto,Denise A. Botter,Mô nica C. Sandoval |
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| Affiliation: | aDepartment of Statistics, Federal University of São Carlos, São Carlos, Brazil;bDepartment of Applied Mathematics and Statistics, University of São Paulo, São Paulo, Brazil;cDepartment of Statistics, Federal University of Campina Grande, Campina Grande, Brazil;dDepartment of Statistics, University of São Paulo, São Paulo, Brazil |
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| Abstract: | Zero adjusted regression models are used to fit variables that are discrete at zero and continuous at some interval of the positive real numbers. Diagnostic analysis in these models is usually performed using the randomized quantile residual, which is useful for checking the overall adequacy of a zero adjusted regression model. However, it may fail to identify some outliers. In this work, we introduce a class of residuals for outlier identification in zero adjusted regression models. Monte Carlo simulation studies and two applications suggest that one of the residuals of the class introduced here has good properties and detects outliers that are not identified by the randomized quantile residual. |
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| Keywords: | Diagnostic analysis outliers randomized quantile residual zero adjusted regression models |
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