A Simple Bootstrap Method for Time Series

被引:6
作者
Cai, Yuzhi [1 ]
Davies, Neville [2 ]
机构
[1] Swansea Univ, Sch Business & Econ, Swansea SA2 8PP, W Glam, Wales
[2] Univ Plymouth, Plymouth PL4 8AA, Devon, England
关键词
Model-free bootstrap; Run process; Simulation study; Time series; THRESHOLD BOOTSTRAP; JACKKNIFE; MODELS;
D O I
10.1080/03610918.2011.598988
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 article we present a simple bootstrap method for time series. The proposed method is model-free, and hence it enables us to avoid certain situations where the bootstrap samples may contain impossible values due to resampling from the residuals. The method is easy to implement and can be applied to stationary and nonstationary time series. The simulation results and the application to real time series data show that the method works very well.
引用
收藏
页码:621 / 631
页数:11
相关论文
共 15 条
[1]  
[Anonymous], 1982, JACKKNIFE BOOTSTRAP
[2]  
[Anonymous], 1986, STAT SCI, DOI DOI 10.1214/SS/1177013815
[3]   Bootstraps for time series [J].
Bühlmann, P .
STATISTICAL SCIENCE, 2002, 17 (01) :52-72
[4]   1977 RIETZ LECTURE - BOOTSTRAP METHODS - ANOTHER LOOK AT THE JACKKNIFE [J].
EFRON, B .
ANNALS OF STATISTICS, 1979, 7 (01) :1-26
[5]   ON BOOTSTRAPPING KERNEL SPECTRAL ESTIMATES [J].
FRANKE, J ;
HARDLE, W .
ANNALS OF STATISTICS, 1992, 20 (01) :121-145
[6]   BOOTSTRAPPING REGRESSION-MODELS [J].
FREEDMAN, DA .
ANNALS OF STATISTICS, 1981, 9 (06) :1218-1228
[7]  
HARDLE W, 1988, J AM STAT ASSOC, V83, P100, DOI 10.2307/2288925
[8]   THE BINARY BOOTSTRAP - INFERENCE WITH AUTOCORRELATED BINARY DATA [J].
KIM, YB ;
HADDOCK, J ;
WILLEMAIN, TR .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1993, 22 (01) :205-216
[9]   THE JACKKNIFE AND THE BOOTSTRAP FOR GENERAL STATIONARY OBSERVATIONS [J].
KUNSCH, HR .
ANNALS OF STATISTICS, 1989, 17 (03) :1217-1241
[10]  
Liu R. Y., 1988, MOVING BLOCKS UNPUB