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:
Univ Kragujevac, Dept Math & Informat, Fac Sci, Radoja Domanovica 12, Kragujevac 34000, SerbiaUniv Kragujevac, Dept Math & Informat, Fac Sci, Radoja Domanovica 12, Kragujevac 34000, Serbia
Pirkovic, Bogdan A.
Laketa, Petra N.
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h-index: 0
机构:
Charles Univ Prague, Fac Math & Phys, Ke Karlovu 3, Prague 12116 2, Czech RepublicUniv Kragujevac, Dept Math & Informat, Fac Sci, Radoja Domanovica 12, Kragujevac 34000, Serbia
Laketa, Petra N.
Nastic, Aleksandar S.
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机构:
Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, SerbiaUniv Kragujevac, Dept Math & Informat, Fac Sci, Radoja Domanovica 12, Kragujevac 34000, Serbia
机构:
Catholic Univ Louvain, Inst Stat Biostat & Actuarial Sci, Voie Roman Pays 20, B-1348 Louvain La Neuve, BelgiumCatholic Univ Louvain, Inst Stat Biostat & Actuarial Sci, Voie Roman Pays 20, B-1348 Louvain La Neuve, Belgium
Hafner, Christian M.
Preminger, Arie
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h-index: 0
机构:
Catholic Univ Louvain, CORE, Voie Roman Pays 34, B-1348 Louvain La Neuve, BelgiumCatholic Univ Louvain, Inst Stat Biostat & Actuarial Sci, Voie Roman Pays 20, B-1348 Louvain La Neuve, Belgium
机构:
Purdue Univ, Krannert Sch Management, Dept Econ, 403 W State St, W Lafayette, IN 47907 USAPurdue Univ, Krannert Sch Management, Dept Econ, 403 W State St, W Lafayette, IN 47907 USA