Asymptotic properties of the Bernstein density copula for dependent data
AbstractCopulas are extensively used for dependence modeling. In many cases the data does not reveal how the dependence can be modeled using a particular parametric copula. Nonparametric copulas do not share this problem since they are entirely data based. This paper proposes nonparametric estimation of the density copula for a-mixing data using Bernstein polynomials. We study the asymptotic properties of the Bernstein density copula, i.e., we provide the exact asymptotic bias and variance, we establish the uniform strong consistency and the asymptotic normality.
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Bibliographic InfoPaper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we083619.
Date of creation: Jul 2008
Date of revision:
Nonparametric estimation; Copula; Bernstein polynomial; a-mixing; Asymptotic properties; Boundary bias;
Other versions of this item:
- Bouezmarni, Taoufik & Rombouts, Jeroen V. K. & Taamouti, Abderrahim, . "Asymptotic properties of the Bernstein density copula for dependent data," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/2733, Universidad Carlos III de Madrid.
- BOUEZMARNI, Taoufik & ROMBOUTS, Jeroen V.K. & TAAMOUTI, Abderrahim, 2008. "Asymptotic properties of the Bernstein density copula for dependent data," CORE Discussion Papers 2008045, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
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