Bernstein estimator for unbounded density copula
We study the asymptotic properties of the Bernstein estimator for unbounded density copula functions. We show that the estimator converges to infinity at the corner. We establish its relative convergence when the copula is unbounded and we provide the uniform strong consistency of the estimator on every compact in the interior region. We also check the finite simple performance of the estimator via an extensive simulation study and we compare it with other well known nonparametric methods. Finally, we consider an empirical application where the asymmetric dependence between international equity markets (US, Canada, UK, and France) is re-examined.
References listed on IDEAS
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"Asymptotic properties of the Bernstein density copula estimator for [alpha]-mixing data,"
Journal of Multivariate Analysis,
Elsevier, vol. 101(1), pages 1-10, January.
- BOUEZMARNI, Taoufik & ROMBOUTS, Jeroen VK & TAAMOUTI, Abderrahim, "undated". "Asymptotic properties of the Bernstein density copula estimator for alpha-mixing data," CORE Discussion Papers RP 2302, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Kim, Gunky & Silvapulle, Mervyn J. & Silvapulle, Paramsothy, 2007. "Comparison of semiparametric and parametric methods for estimating copulas," Computational Statistics & Data Analysis, Elsevier, vol. 51(6), pages 2836-2850, March.
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- Andrew Ang & Geert Bekaert, 2002. "International Asset Allocation With Regime Shifts," Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1137-1187.
- repec:sae:ecolab:v:16:y:2006:i:2:p:1-2 is not listed on IDEAS
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