A Bootstrap View on Dickey-Fuller Control Charts for AR(1) Series

Dickey-Fuller control charts aim at monitoring a time series until a given time horizon to detect stationarity as early as possible. That problem appears in many fields, especially in econometrics and the analysis of economic equilibria. To improve upon asymptotic control limits (critical values), w...

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Bibliographic Details
Main Author: Ansgar Steland
Format: Article
Language:English
Published: Austrian Statistical Society 2016-04-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/381
Description
Summary:Dickey-Fuller control charts aim at monitoring a time series until a given time horizon to detect stationarity as early as possible. That problem appears in many fields, especially in econometrics and the analysis of economic equilibria. To improve upon asymptotic control limits (critical values), we study the bootstrap and establish its a.s. consistency for fixed alternatives. Simulations indicate that the bootstrap control chart works very well.
ISSN:1026-597X