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Weak convergence for the row sums of a triangular array of empirical processes indexed by a manageable triangular array of functions.

Arcones, Miguel A. (1999)

Electronic Journal of Probability [electronic only]

Weak convergence in Hoffmann-Jorgensen sense

Petr Lachout (1996)

Acta Universitatis Carolinae. Mathematica et Physica

Weak Hölder convergence of processes with application to the perturbed empirical process

Djamel Hamadouche, Charles Suquet (1999)

Applicationes Mathematicae

We consider stochastic processes as random elements in some spaces of Hölder functions vanishing at infinity. The corresponding scale of spaces $C_{0}^{α, 0}$ is shown to be isomorphic to some scale of Banach sequence spaces. This enables us to obtain some tightness criterion in these spaces. As an application, we prove the weak Hölder convergence of the convolution-smoothed empirical process of an i.i.d. sample $(X_{1}, . . ., X_{n})$ under a natural assumption about the regularity of the marginal distribution function F of the...

Weak law of large numbers for i.i.d. fuzzy random variables

Dug Hun Hong, Kyung Tae Kim (2007)

Kybernetika

In this paper, weak laws of large numbers for sum of independent and identically distributed fuzzy random variables are obtained.

Weak laws of large numbers for arrays of rowwise negatively dependent random variables.

Taylor, R.L., Patterson, R.F., Bozorgnia, A. (2001)

Journal of Applied Mathematics and Stochastic Analysis

Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities

François Bolley, Cédric Villani (2005)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Where does randomness lead in spacetime?

Ismael Bailleul, Albert Raugi (2010)

ESAIM: Probability and Statistics

We provide an alternative algebraic and geometric approach to the results of [I. Bailleul, Probab. Theory Related Fields141 (2008) 283–329] describing the asymptotic behaviour of the relativistic diffusion.