A characterization of the weak convergence of convolution powers
A continuous mapping theorem for the argmin-set functional with applications to convex stochastic processes
For lower-semicontinuous and convex stochastic processes and nonnegative random variables we investigate the pertaining random sets of all -approximating minimizers of . It is shown that, if the finite dimensional distributions of the converge to some and if the converge in probability to some constant , then the converge in distribution to in the hyperspace of Vietoris. As a simple corollary we obtain an extension of several argmin-theorems in the literature. In particular, in...
A general version of delta theorem
A generalization of the global limit theorems of R. P. Agnew.
A limit theorem for the Riemann zeta-function in the complex space
A Note on Convergence in Probability Uniformly in a Parameter
A note on the weak convergence of probability measures on
A note on weak convergence on martingale measures
A Skorohod space of discontinuous functions on a general set
A strong invariance principle for negatively associated random fields
In this paper we obtain a strong invariance principle for negatively associated random fields, under the assumptions that the field has a finite th moment and the covariance coefficient exponentially decreases to . The main tools are the Berkes-Morrow multi-parameter blocking technique and the Csörgő-Révész quantile transform method.
A uniform central limit theorem for dependent variables
Niemiro and Zieliński (2007) have recently obtained uniform asymptotic normality for the Bernoulli scheme. This paper concerns a similar problem. We show the uniform central limit theorem for a sequence of stationary random variables.
An Abstract Approach to Weak Topologies in Spaces of Measures
An addendum to a remark on Slutsky's theorem
An extension of Billingsley’s uniform boundedness theorem to higher-dimensional -processes
An Open Mapping Theorem for Measures.
(Annexe n° 1) Remarques sur l'exposé d'Assouad (n° XVI)
Approximation of convolutions by accompanying laws without centering.
Approximation of homogeneous measures in the 2-Wasserstein metric.
Asimptotic Distribution and Weak Convergence on Compact Riemannian Manifolds.
Asymptotics of Bernoulli random walks, bridges, excursions and meanders with a given number of peaks.