Add to ORKGDiscrete stable distributions and their domains of attractions were introduced in Steutel and van Harn (1979). Here asymptotic expansions with discrete stable limit laws are considered. In one case the Poisson distribution is the limit law, whereas the other limit laws have infinite expectations. Therefore asymptotic expansions for some infinitely divisible limit distributions with infinite expectation are obtained, too. Examples demonstrate the results. (orig.)Available from TIB Hannover: RR 4487(1999,21) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman
In the present article, we will consider a conditional limit theorem and conditional asymptotic expa...
In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex rand...
In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex rand...
Discrete analogues of self-decomposability and stability were introduced in (Steutel and van Harn, 1...
If X1,X2,...,Xn are independent and identically distributed discrete random variables and Mn = max(X...
We present some recent developments for limit theorems in probability theory, illustrating the varie...
In this note the asymptotic behaviour of absolute moments of infinitely divisible (inf div) distribu...
In this thesis we study the asymptotic behaviour of the solution of a discrete time renewal equation...
AbstractWe study properties of stable-like laws, which are solutions of the distributional equation ...
We consider a triangular array of independent identically distributed discrete random variables. We ...
We present a sharp estimate of the accuracy of Poisson approximation and asymptotic expansions in th...
We study properties of stable-like laws, which are solutions of the distributional equation where (N...
We present a sharp estimate of the accuracy of Poisson approximation and asymptotic expansions in th...
In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex rand...
In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex rand...
In the present article, we will consider a conditional limit theorem and conditional asymptotic expa...
In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex rand...
In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex rand...
Discrete analogues of self-decomposability and stability were introduced in (Steutel and van Harn, 1...
If X1,X2,...,Xn are independent and identically distributed discrete random variables and Mn = max(X...
We present some recent developments for limit theorems in probability theory, illustrating the varie...
In this note the asymptotic behaviour of absolute moments of infinitely divisible (inf div) distribu...
In this thesis we study the asymptotic behaviour of the solution of a discrete time renewal equation...
AbstractWe study properties of stable-like laws, which are solutions of the distributional equation ...
We consider a triangular array of independent identically distributed discrete random variables. We ...
We present a sharp estimate of the accuracy of Poisson approximation and asymptotic expansions in th...
We study properties of stable-like laws, which are solutions of the distributional equation where (N...
We present a sharp estimate of the accuracy of Poisson approximation and asymptotic expansions in th...
In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex rand...
In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex rand...
In the present article, we will consider a conditional limit theorem and conditional asymptotic expa...
In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex rand...
In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex rand...