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A Practical, Accurate, Information Criterion for Nth Order Markov Processes

Sylvain Barde ()

Computational Economics, 2017, vol. 50, issue 2, No 5, 324 pages

Abstract: Abstract The recent increase in the breath of computational methodologies has been matched with a corresponding increase in the difficulty of comparing the relative explanatory power of models from different methodological lineages. In order to help address this problem a Markovian information criterion (MIC) is developed that is analogous to the Akaike information criterion (AIC) in its theoretical derivation and yet can be applied to any model able to generate simulated or predicted data, regardless of its methodology. Both the AIC and proposed MIC rely on the Kullback–Leibler (KL) distance between model predictions and real data as a measure of prediction accuracy. Instead of using the maximum likelihood approach like the AIC, the proposed MIC relies instead on the literal interpretation of the KL distance as the inefficiency of compressing real data using modelled probabilities, and therefore uses the output of a universal compression algorithm to obtain an estimate of the KL distance. Several Monte Carlo tests are carried out in order to (a) confirm the performance of the algorithm and (b) evaluate the ability of the MIC to identify the true data-generating process from a set of alternative models.

Keywords: AIC; Minimum description length; Markov process; Model selection (search for similar items in EconPapers)
JEL-codes: B41 C15 C52 C63 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10614-016-9617-9

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