Theory & Methods: Deviance Residuals for an Angular Response
Francisco Antonio Morais de Souza, Gilberto A. Paula · Australian & New Zealand Journal of Statistics · 2002
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.