Markov chains;
Geometric ergodicity;
Nonlinear time series;
Random environment;
Random time delay;
AUTOREGRESSIVE CONDITIONAL HETEROSKEDASTICITY;
TIME-SERIES;
D O I:
10.1080/03610926.2012.694544
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:
An integer-valued autoregressive model with random time delay under random environment is presented. The geometric ergodicity of the iterative sequence determined by this new model is discussed. Moreover, sufficient conditions for stationarity and beta-mixing property with exponential decay for the INAR model with random time delay under random environment are developed.
机构:
Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Seoul Natl Univ, Res Inst Math, Seoul 151747, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Ha, Seung-Yeal
Kim, Yongduck
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机构:
Seoul Natl Univ, Dept Math Sci, Seoul 151747, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Kim, Yongduck
Li, Zhuchun
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机构:
Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R ChinaSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea