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We consider a reflected Ornstein-Uhlenbeck process driven by a fractional Brownian motion with Hurst parameter $H\in(0,1)$. Our goal is to estimate an unknown drift parameter $\alpha\in (-\infty,\inft...
Random walks with random indices and negative drift conditioned to stay positive。
First hitting times and positions of concentric spheres for testing the drift of a diffusion process。
Azema martingales with drift      Azema martingales  drift       2009/9/22
Pursuing the earlier work of Emery [I], Meyer [2], [3] and the author [4] it is shown that Akma martingales starting from a varying initial point on the line constitute an Evans-Hudson flow in the ...
In this paper, we study backward stochastic nonlinear Volterra integral equations. Under a local Lipschitz continuity condition on the drift, we prove the existence and uniqueness result. We also e...
A Brownian motion observed at equidistant sampling points renders a random walk with normally distributed increments. For the difference between the expected maximum of the Brownian mo- tion and its s...
We investigate existence and permanence properties of invariant measures for abstract stochastic Cauchy problems of the form dU(t) = (AU(t) + f) dt + B dWH(t), governed by the generator A of...
A Brownian motion observed at equidistant sampling points renders a random walk with normally distributed increments. For the difference between the expected maximum of the Brownian mo- tion and its s...
We investigate existence and permanence properties of invariant measures for abstract stochastic Cauchy problems of the form dU(t) = (AU(t) + f) dt + B dWH(t),governed by the generator A of an asympto...
We establish in this paper an exact formula which links the dimension of the harmonic measure, the asymptotic entropy and the rate of escape for a random walk on a discrete subgroup of the isometry gr...

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