Many proposals have been made recently for goodness-of-fit testing of copula models. After reviewing them briefly, the authors concentrate on "blanket tests", i.e., those whose implementation requires neither an arbitrary categorization of the data nor any strategic choice of smoothing...

This note describes an extension of Billingsley's classical tightness criterion for sequences of càdlàg processes on [0, 1]. Applications of the new criterion to the convergence of Gaussian and other processes in D[0, 1] are provided.

LetZ1, ..., Znbe a random sample of sizen[greater-or-equal, slanted]2 from ad-variate continuous distribution functionH, and letVi, nstand for the proportion of observationsZj,j[not equal to]i, such thatZj[less-than-or-equals, slant]Zicomponentwise. The purpose of this paper is to...

Deheuvels proposed a rank test of independence based on a Cramer-von Mises functional of the empirical copula process. Using a general result on the asymptotic distribution of this process under sequences of contiguous alternatives, the local power curve of Deheuvels' test is computed in the...

Tie-corrected versions of Spearman’s rho are often used to measure the dependence in a pair of non-continuous random variables. Multivariate extensions of this coefficient, and estimators thereof, have recently been proposed by Quessy (2009a) [23] and Mesfioui and Quessy (2010) [19]....

Rank-based estimators were proposed by Clayton [Clayton D.G., 1978. A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 65, 141-151.] and Oakes [Oakes, D., 1982. A model for association in...

We investigate the nonparametric estimation of Kendall's coefficient of concordance, τ, for measuring the association between two variables under bivariate censoring. The proposed estimator is a modification of the estimator introduced by Oakes (1982), using a Horvitz-Thompson-type correction...