Automatic bandwidth selection for circular density estimation
AbstractGiven angular data [theta]1,...,[theta]n[set membership, variant][0,2[pi]) a common objective is to estimate the density. In case that a kernel estimator is used, bandwidth selection is crucial to the performance. A "plug-in rule" for the bandwidth, which is based on the concentration of a reference density, namely, the von Mises distribution is obtained. It is seen that this is equivalent to the usual Euclidean plug-in rule in the case where the concentration becomes large. In case that the concentration parameter is unknown, alternative methods are explored which are intended to be robust to departures from the reference density. Simulations indicate that "wrapped estimators" can perform well in this context. The methods are applied to a real bivariate dataset concerning protein structure.
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Bibliographic InfoArticle provided by Elsevier in its journal Computational Statistics & Data Analysis.
Volume (Year): 52 (2008)
Issue (Month): 7 (March)
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Web page: http://www.elsevier.com/locate/csda
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- Agostinelli, Claudio, 2007. "Robust estimation for circular data," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 5867-5875, August.
- K. V. Mardia, 1999. "Directional statistics and shape analysis," Journal of Applied Statistics, Taylor and Francis Journals, vol. 26(8), pages 949-957.
- Schoch, Tobias & Staub, Kaspar & Pfister, Christian, 2012. "Social inequality and the biological standard of living: An anthropometric analysis of Swiss conscription data, 1875–1950," Economics & Human Biology, Elsevier, vol. 10(2), pages 154-173.
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