Theory & Methods: Deviance Residuals for an Angular Response

Francisco A.M. De Souza and Gilberto A. Paula

Australian & New Zealand Journal of Statistics, 2002, vol. 44, issue 3, 345-356

Abstract: This paper discusses deviance residual approximations in von Mises regression models. By using a relationship between the von Mises and the wrapped normal distributions, the paper shows that the deviance component of the von Mises distribution is approximately a linear function of the standard normal distribution. Two standardized forms are proposed for the deviance residual, and a simulation study is performed to compare the approximation of the proposed residuals to the standard normal distribution. An illustrative example is given.

Date: 2002
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