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A note on bootstrap approximations for the empirical copula process. (English) Zbl 1202.62055
Summary: It is well known that the empirical copula process converges weakly to a centered Gaussian field. Because the covariance structure of the limiting process depends on the partial derivatives of the unknown copula, several bootstrap approximations for the empirical copula process have been proposed in the literature. We present a brief review of these procedures. Because some of these procedures also require the estimation of the derivatives of the unknown copula we propose an alternative approach which circumvents this problem. Finally a simulation study is presented in order to compare the different bootstrap approximations for the empirical copula process.

62G09 Nonparametric statistical resampling methods
62G20 Asymptotic properties of nonparametric inference
62G30 Order statistics; empirical distribution functions
65C60 Computational problems in statistics (MSC2010)
Full Text: DOI
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