Dynamic behavior of volatility in a nonstationary generalized regime-switching GARCH model

被引:3
作者
Hong, Won-Tak
Hwang, Eunju [1 ]
机构
[1] Gachon Univ, Dept Appl Stat, Songnam, South Korea
基金
新加坡国家研究基金会;
关键词
Regime-switching GARCH model; Volatility; Asymptotic normality; CENTRAL-LIMIT-THEOREM; TIME-SERIES; RATES;
D O I
10.1016/j.spl.2016.04.002
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
In this paper we consider a generalized regime-switching GARCH model with a wide class of dependent innovations, and establish asymptotic normality of the logarithm of volatility in the nonstationary generalized regime-switching GARCH model. This extends existing results for volatilities in nonstationary GARCH model with mixing sequences of innovations. A Monte-Carlo experiment is conducted to validate the main theory for the dynamics of the nonstationary volatilities. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:36 / 44
页数:9
相关论文
共 22 条
[11]   Modeling the conditional distribution of interest rates as a regime-switching process [J].
Gray, SF .
JOURNAL OF FINANCIAL ECONOMICS, 1996, 42 (01) :27-62
[12]  
Haas M., 2004, Journal of Financial Econometrics, V2, P211, DOI [DOI 10.1093/JJFINEC/NBH009, 10.1093/jjfinec/nbh009]
[13]   AUTOREGRESSIVE CONDITIONAL HETEROSKEDASTICITY AND CHANGES IN REGIME [J].
HAMILTON, JD ;
SUSMEL, R .
JOURNAL OF ECONOMETRICS, 1994, 64 (1-2) :307-333
[14]   A NEW APPROACH TO THE ECONOMIC-ANALYSIS OF NONSTATIONARY TIME-SERIES AND THE BUSINESS-CYCLE [J].
HAMILTON, JD .
ECONOMETRICA, 1989, 57 (02) :357-384
[16]   ANALYSIS OF TIME-SERIES SUBJECT TO CHANGES IN REGIME [J].
HAMILTON, JD .
JOURNAL OF ECONOMETRICS, 1990, 45 (1-2) :39-70
[17]   Infinite-order, long-memory heterogeneous autoregressive models [J].
Hwang, Eunju ;
Shin, Dong Wan .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2014, 76 :339-358
[18]   Improving GARCH volatility forecasts with regime-switching GARCH [J].
Klaassen, Franc .
EMPIRICAL ECONOMICS, 2002, 27 (02) :363-394
[19]   The functional central limit theorem and structural change test for the HAR(∞) model [J].
Lee, Oesook .
ECONOMICS LETTERS, 2014, 124 (03) :370-373
[20]   On dynamics of volatilities in nonstationary GARCH models [J].
Li, Dong ;
Li, Muyi ;
Wu, Wuqing .
STATISTICS & PROBABILITY LETTERS, 2014, 94 :86-90