45 citations · 222 across the 55 of their papers we have counts for
41 papers · 1 filter
Asymptotic behaviour of critical decomposable 2-type Galton-Watson processes with immigration
Matyas Barczy, Dániel Bezdány, Gyula Pap
In this paper the asymptotic behaviour of a critical 2-type Galton-Watson process with immigration is described when its offspring mean matrix is reducible, in other words, when th…
A note on asymptotic behavior of critical Galton-Watson processes with immigration
Matyas Barczy, Dániel Bezdány, Gyula Pap
In this somewhat didactic note we give a detailed alternative proof of the known result due to Wei and Winnicki (1989) which states that under second order moment assumptions on th…
A multidimensional stable limit theorem
Matyas Barczy, Gyula Pap
We establish multidimensional analogues of one-dimensional stable limit theorems due to Häusler and Luschgy (2015) for so called explosive processes. As special cases we present mu…
On simultaneous limits for aggregation of stationary randomized INAR(1) processes with Poisson innovations
Matyas Barczy, Fanni K. Nedényi, Gyula Pap
We investigate joint temporal and contemporaneous aggregation of N independent copies of strictly stationary INteger-valued AutoRegressive processes of order 1 (INAR(1)) with rando…
Convergence of partial sum processes to stable processes with application for aggregation of branching processes
Matyas Barczy, Fanni K. Nedényi, Gyula Pap
We provide a generalization of Theorem 1 in Bartkiewicz, Jakubowski, Mikosch and Wintenberger (2011) in the sense that we give sufficient conditions for weak convergence of finite…
On aggregation of subcritical Galton-Watson branching processes with regularly varying immigration
Matyas Barczy, Fanni K. Nedényi, Gyula Pap
We study an iterated temporal and contemporaneous aggregation of independent copies of a strongly stationary subcritical Galton-Watson branching process with regularly varying…