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arxiv: 0903.3330 · v2 · submitted 2009-03-19 · 🧮 math.ST · stat.TH

On the covariance of the asymptotic empirical copula process

classification 🧮 math.ST stat.TH
keywords copulaempiricalprocessasymptoticcovarianceassociatedbivariateconditions
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Conditions are given under which the empirical copula process associated with a random sample from a bivariate continuous distribution has a smaller asymptotic covariance function than the standard empirical process based on observations from the copula. Illustrations are provided and consequences for inference are outlined.

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