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Items for "weak convergence"

Stochastic equations with multidimensional drift driven by Levy processes

The stochastic equation

dXt = dLt + a(t,Xt )dt, t > 0,

is considered where L is a d-dimensional Levy process with the characteristic exponent (ξ), ξ ∈ Bbb R, d > 1...

Keywords: Multidimensional Levy processes, stochastic differential equations, time-dependent drift, weak convergence

12/2006 | Random Operators and Stochastic Equations, Walter de Gruyter
Approximation of fractional Brownian sheet by a random walk in anisotropic Besov space

Under the topology of anisotropic Besov spaces, we prove the convergence in law of a random walk defined by the partial sums of a mean zero stationary Gaussian fields to the fractional Brownian sheet.

Keywords: weak convergence, anisotropic Besov spaces, fractional Brownian sheet, stationary processes, regular functions

07/2007 | Random Operators and Stochastic Equations, Walter de Gruyter