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A Note on the Selection of Time Series Models

Serena Ng () and Pierre Perron

Oxford Bulletin of Economics and Statistics, 2005, vol. 67, issue 1, 115-134

Abstract: We consider issues related to the order of an autoregression selected using information criteria. We study the sensitivity of the estimated order to (i) whether the effective number of observations is held fixed when estimating models of different order, (ii) whether the estimate of the variance is adjusted for degrees of freedom, and (iii) how the penalty for overfitting is defined in relation to the total sample size. Simulations show that the lag length selected by both the Akaike and the Schwarz information criteria are sensitive to these parameters in finite samples. The methods that give the most precise estimates are those that hold the effective sample size fixed across models to be compared. Theoretical considerations reveal that this is indeed necessary for valid model comparisons. Guides to robust model selection are provided.

Date: 2005
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Citations: View citations in EconPapers (41)

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https://doi.org/10.1111/j.1468-0084.2005.00113.x

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Working Paper: A Note on the Selection of Time Series Models (2001) Downloads
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Oxford Bulletin of Economics and Statistics is currently edited by Christopher Adam, Anindya Banerjee, Christopher Bowdler, David Hendry, Adriaan Kalwij, John Knight and Jonathan Temple

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