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Circular Bernstein polynomial distributions

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Author Info

  • José Antonio Carnicero

    ()

  • Michael P. Wiper

    ()

  • Concepción Ausín

    ()

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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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    File URL: http://e-archivo.uc3m.es/bitstream/10016/8318/1/ws102511.pdf
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    Bibliographic Info

    Paper provided by Universidad Carlos III, Departamento de Estadística y Econometría in its series Statistics and Econometrics Working Papers with number ws102511.

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    Date of creation: May 2010
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    Handle: RePEc:cte:wsrepe:ws102511

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    Related research

    Keywords: Circular data; Non-parametric modeling; Bernstein polynomials;

    This paper has been announced in the following NEP Reports:

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