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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 ...
Weak convergence of the empirical copula process is shown to hold under the assumption that the first-order partial derivatives of the copula exist and are continuous on certain subsets of the unit hy...
In this paper, we introduce the notion of efficiency (consistency) and examine some asymptotic properties of Markov chain Monte Carlo methods. We apply these results to the Gibbs sampler for independe...
First, sufficient conditions are given for a triangular array of random vectors such that the sequence of related random step functions converges towards a (not necessarily time homogeneous) diffusion...
Weak convergence of random sums of infima of independent random variables。
Weak convergence to the Brownian motion of the partial sums of infima of independent random variables。
Weak convergence under mapping      Weak convergence  mapping        2009/9/23
Weak convergence under mapping
We investigate stability, with respect to convergence of coefficients, of one-dimensional It6 diRussions as well as one-dimensionat diffusions wrresponding to second order divergence form operators....
Several connections between the weak convergence of random variables, convergence of their distributions and conditioning have been described.
Let (5,J be a sequence of random vectors with values in a Banach space X with distributions pen weakly converging to a given distribution p. We characterize a general form of a distribution of a we...
In this paper, we shall be concerned with weak convergence of the randomly indexed versions of the standard and 'Fndependence" empirical processes, in the general framework of stochastic processes ...
We show that if a sequence of domains $D_k$ increases to a domain $D$ then the reflected Brownian motions in $D_k$'s converge to the reflected Brownian motion in $D$, under mild technical assumptions....
We show, by a simple counterexample, that the main result in a recent paper by H. Van Zanten [Electronic Communications in Probability 7 (2002), 215-222] is false. We eventually point out the origin o...
The paper studies the asymptotic behavior of Random Algebraic Riccati Equations (RARE) arising in Kalman filtering when the arrival of the observations is described by a Bernoulli i.i.d. process. We ...

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