Overlapping sub-sampling and invariance to initial conditions

Kyriacou, Maria (2014) Overlapping sub-sampling and invariance to initial conditions. Communications in Statistics - Theory and Methods


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This paper studies the use of the overlapping blocking scheme in unit root autoregression. When the underlying process is that of a random walk, the blocks’ initial conditions are not fixed, but are equal to the sum of all the previous observations’ error terms. When non- overlapping subsamples are used, as first shown by Chambers and Kyriacou (2010), these initial conditions do not disappear asymptotically. In this paper we show that a simple way of overcoming this issue is to use overlapping blocks. By doing so, the effect of these initial conditions vanishes asymptotically. An application of these findings to jackknife estimators indicates that an estimator based on moving-blocks is able to provide obvious reductions to the mean square error

Item Type: Article
ISSNs: 0361-0926 (print)
Subjects: Q Science > QA Mathematics
Divisions : Faculty of Social and Human Sciences > Social Sciences > Economics
ePrint ID: 337799
Accepted Date and Publication Date:
4 December 2014In press
Date Deposited: 04 May 2012 07:45
Last Modified: 31 Mar 2016 14:27
URI: http://eprints.soton.ac.uk/id/eprint/337799

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