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Please use this identifier to cite or link to this item: http://hdl.handle.net/10016/8318

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Title: Circular Bernstein polynomial distributions
Author(s): Carnicero, José Antonio
Wiper, Michael P.
Ausín, Concepción
Publisher: Universidad Carlos III de Madrid. Departamento de Estadística
Issued date: May-2010
URI: http://hdl.handle.net/10016/8318
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.
Serie / Nº.: UC3M Working papers. Statistics and Econometrics
10-25
Keywords: Circular data
Non-parametric modeling
Bernstein polynomials
Appears in Collections:DES - Working Papers. Statistics and Econometrics. WS

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