In this paper, we prove a criterion of convergence in distribution in the Skorokhod space. We apply this criterion to some special Levy processes and obtain almost-sure versions of limit theorems for these processes. © 2007 Springer Science+Business Media, Inc
AbstractLet (Xt : t ≥ 0) be a stochastically continuous, real valued stochastic process with indepen...
Summary. A special ("extended") kind of convergence in distribution of processes with filt...
AbstractAssuming that {(Un,Vn)} is a sequence of càdlàg processes converging in distribution to (U,V...
In this paper, we prove a criterion of convergence in distribution in the Skorokhod space. We apply ...
We know that almost sure convergence of random variables implies their convergence in distribution. ...
A survey on functional limit theorems for compositions of stochastic processes is presented. Applica...
A recent result of Bertoin, Doney and Maller (Ann. Prob., 2007) gives an integral condition to chara...
Under proper scaling and distributional assumptions, we prove the convergence in the Skorokhod space...
In this paper we formulate and prove the almost sure functional limit theorem in fairly general case...
In this paper we derive a technique for obtaining limit theorems for suprema of Lévy processes from ...
We study the weak convergence in the space of processes constructed from products of sums of indepe...
We consider the partial sum process of a bounded functional of a linear process and the linear proce...
We deal with random processes obtained from a homogeneous random process with independent increments...
In this dissertation, we study Levy processes with a bounded number of largest jumps removed. The re...
We consider different limit theorems for additive and multiplicative free Levy processes. The main r...
AbstractLet (Xt : t ≥ 0) be a stochastically continuous, real valued stochastic process with indepen...
Summary. A special ("extended") kind of convergence in distribution of processes with filt...
AbstractAssuming that {(Un,Vn)} is a sequence of càdlàg processes converging in distribution to (U,V...
In this paper, we prove a criterion of convergence in distribution in the Skorokhod space. We apply ...
We know that almost sure convergence of random variables implies their convergence in distribution. ...
A survey on functional limit theorems for compositions of stochastic processes is presented. Applica...
A recent result of Bertoin, Doney and Maller (Ann. Prob., 2007) gives an integral condition to chara...
Under proper scaling and distributional assumptions, we prove the convergence in the Skorokhod space...
In this paper we formulate and prove the almost sure functional limit theorem in fairly general case...
In this paper we derive a technique for obtaining limit theorems for suprema of Lévy processes from ...
We study the weak convergence in the space of processes constructed from products of sums of indepe...
We consider the partial sum process of a bounded functional of a linear process and the linear proce...
We deal with random processes obtained from a homogeneous random process with independent increments...
In this dissertation, we study Levy processes with a bounded number of largest jumps removed. The re...
We consider different limit theorems for additive and multiplicative free Levy processes. The main r...
AbstractLet (Xt : t ≥ 0) be a stochastically continuous, real valued stochastic process with indepen...
Summary. A special ("extended") kind of convergence in distribution of processes with filt...
AbstractAssuming that {(Un,Vn)} is a sequence of càdlàg processes converging in distribution to (U,V...