models for count data;
thinning models;
branching processes;
random environment;
limit theorems;
60J80;
60K37;
60F05;
60J20;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
The random coefficient integer-valued autoregressive process was introduced by Zheng, Basawa, and Datta in 2007. In this paper we study the asymptotic behavior of this model (in particular, weak limits of extreme values and the growth rate of partial sums) in the case where the additive term in the underlying random linear recursion belongs to the domain of attraction of a stable law.
机构:
Jilin Univ, Sch Math, Changchun, Jilin, Peoples R China
Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun, Jilin, Peoples R ChinaJilin Univ, Sch Math, Changchun, Jilin, Peoples R China
Li, Cong
Wang, Dehui
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机构:
Jilin Univ, Sch Math, Changchun, Jilin, Peoples R ChinaJilin Univ, Sch Math, Changchun, Jilin, Peoples R China
Wang, Dehui
Zhu, Fukang
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机构:
Jilin Univ, Sch Math, Changchun, Jilin, Peoples R ChinaJilin Univ, Sch Math, Changchun, Jilin, Peoples R China
机构:
Vilnius Univ, Inst Math & Informat, LT-08663 Vilnius, Lithuania
Univ Nantes, F-44313 Nantes, FranceVilnius Univ, Inst Math & Informat, LT-08663 Vilnius, Lithuania
Pilipauskaite, Vytaute
Surgailis, Donatas
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机构:
Vilnius Univ, Inst Math & Informat, LT-08663 Vilnius, LithuaniaVilnius Univ, Inst Math & Informat, LT-08663 Vilnius, Lithuania