Abstract

CASTILLA, Elena. Robust Circular Logistic Regression Model and Its Application to Life and Social Sciences. Rev.Colomb.Estad. [online]. 2023, vol.46, n.1, pp.45-62.  Epub Jan 18, 2023. ISSN 0120-1751.  https://doi.org/10.15446/rce.v46n1.101517.

This paper presents robust estimators for binary and multinomial circular logistic regression, where a circular predictor is related to the response. An extensive Monte Carlo Simulation Study clearly shows the robustness of proposed methods. Finally, three numerical examples of Botany, Crime and Meteorology illustrate the application of these methods to Life and Social Sciences. Although in the Botany data the proposed method showed little improvement, in the Crime and Meteorological data an increment up to 5% and 4% of accuracy, respectively, is achieved.

Keywords : Circular data; Circular logistic regression; Maximum likelihood estimation; Multinomial circular logistic regression; Robustness.

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