Test for Parameter Change in ARIMA Models

Communications in Statistics : Simulation and Computation Volume 35 Issue 2 Page 429-439 published_at 2006-04
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Title ( eng )
Test for Parameter Change in ARIMA Models
Creator
Lee Sangyeol
Park Siyun
Kawai Ken-ichi
Source Title
Communications in Statistics : Simulation and Computation
Volume 35
Issue 2
Start Page 429
End Page 439
Abstract
In this paper we consider the problem of testing for parameter changes in ARIMA models based on the cusum test. The proposed test procedure is applicable to testing for the change from stationary models to nonstationary models, and vice versa. The idea is to transform the time series via differencing to make the whole time series as a combination of stationary subseries. For this task, we propose a graphical method to identify the right order of differencing. Then the cusum test statistic proposed by Lee et al. (2003) is constructed based the differenced time series. Simulation study and real data analysis are provided for illustration.
Keywords
Test for parameter changes
cusum test
ARIMA model
graphical method
autocovariance function
and Brownian bridge
NDC
Economics [ 330 ]
Language
eng
Resource Type journal article
Publisher
Taylor & Francis
Date of Issued 2006-04
Rights
Copyright (c) 2006 Taylor & Francis. This is an electronic version of an article published in "Communications in Statistics Vol.35 No.2 pp.429-439" Communications in Statistics is available at: http://dx.doi.org/10.1080/03610910600591537
Publish Type Author’s Original
Access Rights open access
Source Identifier
[ISSN] 0361-0918
[DOI] 10.1080/03610910600591537
[NCID] AA10512671
[DOI] http://dx.doi.org/10.1080/03610910600591537