The functional central limit theorem for Markov-switching GARCH model

被引:0
作者
Kwon, Dream [1 ]
Lee, Oesook [1 ]
机构
[1] Ewha Womans Univ, Dept Stat, Seoul 03760, South Korea
关键词
Markov switching GARCH model; Functional central limit theorem; phi-mixing; CONDITIONAL HETEROSKEDASTICITY; TIME-SERIES;
D O I
10.1016/j.econlet.2024.111728
中图分类号
F [经济];
学科分类号
02 ;
摘要
In this paper we consider the Markov Switching GARCH model suggested by Haas, Mittnik, and Paolella(2004). We show under proper assumptions that the functional central limit theorems hold for the process, the square of the process, and regime variances. The functional central limit theorem for a linear combination of regime variances is also obtained.
引用
收藏
页数:4
相关论文
共 17 条
[1]   The functional central limit theorem for a family of GARCH observations with applications [J].
Berkes, Istvan ;
Hoermann, Siegfried ;
Horvath, Lajos .
STATISTICS & PROBABILITY LETTERS, 2008, 78 (16) :2725-2730
[2]  
Billingsley, 1968, CONVERGENCE PROBABIL
[3]   GENERALIZED AUTOREGRESSIVE CONDITIONAL HETEROSKEDASTICITY [J].
BOLLERSLEV, T .
JOURNAL OF ECONOMETRICS, 1986, 31 (03) :307-327
[4]   A MARKOV MODEL OF SWITCHING-REGIME ARCH [J].
CAI, J .
JOURNAL OF BUSINESS & ECONOMIC STATISTICS, 1994, 12 (03) :309-316
[5]   Establishing conditions for the functional central limit theorem in nonlinear and semiparametric time series processes [J].
Davidson, J .
JOURNAL OF ECONOMETRICS, 2002, 106 (02) :243-269
[6]  
Dedecker J, 2007, Lecture Notes in Statistics, V190
[7]   AUTOREGRESSIVE CONDITIONAL HETEROSCEDASTICITY WITH ESTIMATES OF THE VARIANCE OF UNITED-KINGDOM INFLATION [J].
ENGLE, RF .
ECONOMETRICA, 1982, 50 (04) :987-1007
[8]   Conditional heteroskedasticity driven by hidden Markov chains [J].
Francq, C ;
Roussignol, M ;
Zakoïan, JM .
JOURNAL OF TIME SERIES ANALYSIS, 2001, 22 (02) :197-220
[9]  
Francq C., 2005, Stochastic Process. Appl., V102, P339
[10]   Modeling the conditional distribution of interest rates as a regime-switching process [J].
Gray, SF .
JOURNAL OF FINANCIAL ECONOMICS, 1996, 42 (01) :27-62