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When uniform weak convergence fails: empirical processes for dependence functions via epi- and hypographs
bootstrap copula epigraph hypograph stable tail dependence function minimum distance estimation weak convergence
2013/6/14
For copulas whose partial derivatives are not continuous everywhere on the interior of the unit cube, the empirical copula process does not converge weakly with respect to the supremum distance. This ...
Multichannel Deconvolution with Long-Range Dependence: A Minimax Study
adaptivity Besov spaces block thresholding deconvolu-tion Fourier analysis functional data long-range dependence,Meyer wavelets mini-max estimators multichannel deconvolution partial differential equations stationary sequences wavelet analysis
2013/6/13
We consider the problem of estimating the unknown response function in the multichannel deconvolution model with long-range dependent Gaussian errors. We do not limit our consideration to a specific t...
Weighted estimation of the dependence function for an extreme-value distribution
bivariate extreme dependence function jackknife empirical likelihood method
2013/4/28
Bivariate extreme-value distributions have been used in modeling extremes in environmental sciences and risk management. An important issue is estimating the dependence function, such as the Pickands ...