Publication: Circular Bernstein polynomial distributions
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2010-05
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Abstract
This paper introduces a new non-parametric approach to the modeling of circular data, based
on the use of Bernstein polynomial densities which generalizes the standard Bernstein
polynomial model to account for the specific characteristics of circular data. It is shown that the
trigonometric moments of the proposed circular Bernstein polynomial distribution can all be
derived in closed form. We comment on how to fit the Bernstein polynomial density
approximation to a sample of data and illustrate our approach with a real data example.
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Keywords
Circular data, Non-parametric modeling, Bernstein polynomials