Add to ORKGLet G = [Sigma][infinity]n=0pnF*n denote the probability measure subordinate to F with subordinator {Pn}. We investigate the asymptotic behaviour of (1 - G(x))-([Sigma] npn)(1 - F(x)) as x --> [infinity] if 1 - F is regularly varying with index [varrho], 0regular variation subordination infinite divisibility
We consider subordinators in the domain of attraction at 0 of a stable subordinator (where ); thus...
We study asymptotic distributions of the sums y(n)(x) = Sigma(n-1)(k=0) psi(x + k alpha) with respec...
We characterize second order regular variation of the tail sum of F together with a balance conditio...
AbstractLet G = Σ∞n=0pnF∗n denote the probability measure subordinate to F with subordinator {Pn}N. ...
AbstractSuppose G is a distribution function on [0, ∞) and F(x)=∑∞n=0pnG(n)(x)We prove necessary and...
AbstractSuppose that {a(n)} is a discrete probability distribution on the set N0={0,1,2,…} and {p(n)...
AbstractSuppose Xi, i = 1, 2, … are i.i.d. positive random variables with d.f. F. We assume the tail...
textabstractSuppose Xi, i = 1,2,... are i.i.d. positive random variables with d.f. F. We assume the ...
We consider the infinite divisibility of distributions of some well-known inverse subordinators. Usi...
Let {Xk, k ≥ 1} be a sequence of independently and identically distributed random variables with com...
AbstractLet X1, X2,… be i.i.d. random variables with continuous distribution function F < 1. It is k...
Consider a centered separable Gaussian process Y with a variance function that is regularly varying ...
Let X_1(t) and X_2(t) be independent subordinators and let X^<-1>2(t) be the right-continuous invers...
We investigate the relationship between the asymptotic tail behavior of an infinitely divisible dist...
AbstractSecond-order regular variation is a refinement of the concept of regular variation which is ...
We consider subordinators in the domain of attraction at 0 of a stable subordinator (where ); thus...
We study asymptotic distributions of the sums y(n)(x) = Sigma(n-1)(k=0) psi(x + k alpha) with respec...
We characterize second order regular variation of the tail sum of F together with a balance conditio...
AbstractLet G = Σ∞n=0pnF∗n denote the probability measure subordinate to F with subordinator {Pn}N. ...
AbstractSuppose G is a distribution function on [0, ∞) and F(x)=∑∞n=0pnG(n)(x)We prove necessary and...
AbstractSuppose that {a(n)} is a discrete probability distribution on the set N0={0,1,2,…} and {p(n)...
AbstractSuppose Xi, i = 1, 2, … are i.i.d. positive random variables with d.f. F. We assume the tail...
textabstractSuppose Xi, i = 1,2,... are i.i.d. positive random variables with d.f. F. We assume the ...
We consider the infinite divisibility of distributions of some well-known inverse subordinators. Usi...
Let {Xk, k ≥ 1} be a sequence of independently and identically distributed random variables with com...
AbstractLet X1, X2,… be i.i.d. random variables with continuous distribution function F < 1. It is k...
Consider a centered separable Gaussian process Y with a variance function that is regularly varying ...
Let X_1(t) and X_2(t) be independent subordinators and let X^<-1>2(t) be the right-continuous invers...
We investigate the relationship between the asymptotic tail behavior of an infinitely divisible dist...
AbstractSecond-order regular variation is a refinement of the concept of regular variation which is ...
We consider subordinators in the domain of attraction at 0 of a stable subordinator (where ); thus...
We study asymptotic distributions of the sums y(n)(x) = Sigma(n-1)(k=0) psi(x + k alpha) with respec...
We characterize second order regular variation of the tail sum of F together with a balance conditio...