7 citations · 10 across the 10 of their papers we have counts for
4 papers · 2 filters
On a conjecture of Seneta
Peter Kevei
In this short note we prove that is regularly varying with index if and only if $V_β(x) = \int_{[0,x]} y^β\mat…
Strong renewal theorem and local limit theorem in the absence of regular variation
Peter Kevei, Dalia Terhesiu
We obtain a strong renewal theorem with infinite mean beyond regular variation, when the underlying distribution belongs to the domain of geometric partial attraction a semistable…
Moments of the stationary distribution of subcritical multitype Galton-Watson processes with immigration
Péter Kevei, Péter Wiandt
In this short note we obtain necessary and sufficient conditions for the existence of the moments of the stationary distribution of a subcritical multitype Galton-Watson process wi…
Limit Theorems for Branching Processes with Immigration in a Random Environment
Bojan Basrak, Peter Kevei
We investigate subcritical Galton-Watson branching processes with immigration in a random environment. Using Goldie's implicit renewal theory we show that under general Cramér cond…