ASYMPTOTIC BEHAVIOR OF MULTITYPE NEARLY CRITICAL GALTON-WATSON PROCESSES WITH IMMIGRATION

被引：1
|
作者：
Gyoerfi, L. [1 ]
Ispany, M. [2 ]
Kevei, P. [3 ]
Pap, G. [4 ]
机构：
[1] Budapest Univ Technol & Econ, Dept Comp Sci & Informat Theory, Budapest, Hungary
[2] Univ Debrecen, Fac Informat, Dept Informat Technol, Debrecen, Hungary
[3] Univ Szeged, Bolyai Inst, MTA SZTE Anal & Stochast Res Grp, H-6720 Szeged, Hungary
[4] Univ Szeged, Bolyai Inst, Dept Stochast, H-6720 Szeged, Hungary
来源：
THEORY OF PROBABILITY AND ITS APPLICATIONS | 2015年 / 59卷 / 04期
基金：
匈牙利科学研究基金会;
关键词：
multiype Galton-Watson process with immigration; INAR model; nearly critical model; multidimensional Poisson distribution; Toeplitz matrix; inhomogeneous model; MODELS; GENES;
D O I：
10.1137/S0040585X97T987351
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Multitype inhomogeneous Galton-Watson processes with immigration are investigated, where the offspring mean matrix slowly converges to a critical mean matrix. Under general conditions we obtain limit distribution for the process, where the coordinates of the limit vector are not necessarily independent.
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页码：590 / 610
页数：21
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