Asymptotic properties of monitoring procedure for parameter change in heteroscedastic time series models

被引:0
作者
Kim, Soo Taek [1 ]
Oh, Hae June [1 ]
机构
[1] Gyeongsang Natl Univ, Dept Informat & Stat, 501 Jinju Daero, Jinju 52828, South Gyeongsan, South Korea
基金
新加坡国家研究基金会;
关键词
monitoring procedure; parameter change; sequential procedures; location-scale time series; modified residual CUSUM; CHANGE-POINT DETECTION; CUSUM TEST;
D O I
10.5351/KJAS.2020.33.4.467
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
We investigate a monitoring procedure for the early detection of parameter changes in location-scale time series models. We introduce a detector for monitoring procedure based on modified residual cumulative sum (CUSUM). The asymptotic properties of the monitoring procedure are established under the null and alternative hypotheses. Simulation results and data analysis are also provided for illustration.
引用
收藏
页码:467 / 482
页数:16
相关论文
共 27 条
[1]   Reaction times of monitoring schemes for ARMA time series [J].
Aue, Alexander ;
Dienes, Christopher ;
Fremdt, Stefan ;
Steinebach, Josef .
BERNOULLI, 2015, 21 (02) :1238-1259
[2]   Monitoring procedure for parameter change in causal time series [J].
Bardet, Jean-Marc ;
Kengne, William .
JOURNAL OF MULTIVARIATE ANALYSIS, 2014, 125 :204-221
[3]   Testing for parameter constancy in GARCH(p,q) models [J].
Berkes, I ;
Horváth, L ;
Kokoszka, P .
STATISTICS & PROBABILITY LETTERS, 2004, 70 (04) :263-273
[4]   Sequential change-point detection in GARCH(p,q) models [J].
Berkes, I ;
Gombay, E ;
Horváth, L ;
Kokoszka, P .
ECONOMETRIC THEORY, 2004, 20 (06) :1140-1167
[5]   Monitoring structural change [J].
Chu, CSJ ;
Stinchcombe, M ;
White, H .
ECONOMETRICA, 1996, 64 (05) :1045-1065
[6]  
Csorgo Miklos, 2014, STRONG APPROXIMATION
[7]   ON-LINE MONITORING OF POLLUTION CONCENTRATIONS WITH AUTOREGRESSIVE MOVING AVERAGE TIME SERIES [J].
Dienes, Christopher ;
Aue, Alexander .
JOURNAL OF TIME SERIES ANALYSIS, 2014, 35 (03) :239-261
[8]  
Francq C., 2019, GARCH Models: Structure, Statistical Inference and Financial Applications
[9]   Change detection in autoregressive time series [J].
Gombay, Edit .
JOURNAL OF MULTIVARIATE ANALYSIS, 2008, 99 (03) :451-464
[10]   Monitoring parameter change in AR(p) time series models [J].
Gombay, Edit ;
Serban, Daniel .
JOURNAL OF MULTIVARIATE ANALYSIS, 2009, 100 (04) :715-725