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In this paper we prove central limit theorems for bias reduced estimators of the structure function of several multifractal processes, namely mutiplicative cascades, multifractal random measures, mult...
In this paper sequential monitoring schemes to detect nonparametric drifts are studied for the random walk case. The procedure is based on a kernel smoother. As a by-product we obtain the asymptotic...
Random limit theorems for random walks conditioned to stay positive。
Functional random central limit theorems for random walks conditioned to stay positive。
Random walks with random indices and negative drift conditioned to stay positive。
Conditioned random walks with random indices。
New l-parameter families of central limit distributions are investigated by means of random walks on trees associated with free groups under two kinds of states: one is Haagerup's function and the ...
Let (M,, SJnao be a Markov random walk whose driving chain (M,JnbwDith general. state space (9,G ) is ergodic with unique stationary distribution 4. Providing n- S, + 0 in probability under PI,it i...
In the paper we study the random walks zy=,Xi on the interval [O, Nj c 2, where Xi are i.i.d. random variables with characteristic function @ = (1 -cos 0) 1 f'I2 Here f is a rational function. We ...
This paper is devoted to study the similarity of birthand- death processes with a discrete and continuous time. We discuss some relations between the measures of orthogonality of the associated pol...
A number of papers have examined various aspects of ``random random walks'' on finite groups; the purpose of this article is to provide a survey of this work and to show, bring together, and discuss s...
Let $(xi_k, kge 0)$ be a Markov chain on ${-1,+1}$ with $xi_0=1$ and transition probabilities $P(xi_{k+1}=1| xi_k=1)=a>b=P(xi_{k+1}=-1| xi_k=-1)$. Set $X_0=0$, $X_n=xi_1+cdots +xi_n$ and $M_n=max_{0le...
We consider a continuous time random walk on the d-dimensional lattice Zd: the jump rates are time dependent, but symmetric and strongly elliptic with ellipticity constants independent of time. We inv...
We prove that random walks in i.i.d. random environments which oscillate in a given direction have velocity zero with respect to that direction. This complements existing results thus giving a general...
In a first-passage percolation model on the square lattice $Z^2$, if the passage times are independent then the number of geodesics is either $0$ or $+infty$. If the passage times are stationary, ergo...

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