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Theory & Methods: Deviance Residuals for an Angular Response

Author

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

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.

Suggested Citation

  • Francisco A.M. De Souza & Gilberto A. Paula, 2002. "Theory & Methods: Deviance Residuals for an Angular Response," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 44(3), pages 345-356, September.
    • Handle: RePEc:bla:anzsta:v:44:y:2002:i:3:p:345-356
    DOI: 10.1111/1467-842X.00236
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    Cited by:

    1. Ortega, Edwin M. M. & Bolfarine, Heleno & Paula, Gilberto A., 2003. "Influence diagnostics in generalized log-gamma regression models," Computational Statistics & Data Analysis, Elsevier, vol. 42(1-2), pages 165-186, February.
    2. Andrade, Ana C.C. & Pereira, Gustavo H.A. & Artes, Rinaldo, 2023. "The circular quantile residual," Computational Statistics & Data Analysis, Elsevier, vol. 178(C).

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