Trimmed estimator for circular–circular regression: breakdown properties and an exact algorithm for computation
Article Type
Research Article
Publication Title
Statistics
Abstract
The paper attempts to address the robustness issues in circular–circular regression. The Möbius transformation-based link function for circular–circular regression is considered. Defining the concept of breakdown point in this context, the robustness issues of the estimators in this model are discussed. Maximum trimmed cosine estimator in this context is considered and the breakdown point of the estimator is calculated. An exact polynomial time algorithm is then proposed for the computation of the estimator which makes the methodology useful and readily applicable for empirical datasets. Simulation studies show that the estimator is robust with respect to the outliers. An analysis of real data is performed to illustrate the proposed methodology.
First Page
375
Last Page
395
DOI
10.1080/02331888.2022.2066673
Publication Date
1-1-2022
Recommended Citation
Jha, J.; Biswas, Atanu; and Cheng, Tsung Chi, "Trimmed estimator for circular–circular regression: breakdown properties and an exact algorithm for computation" (2022). Journal Articles. 3357.
https://digitalcommons.isical.ac.in/journal-articles/3357