High-dimensional ^sub AIC^ in the growth curve model
The AIC and its modifications have been proposed for selecting the degree in a polynomial growth curve model under a large-sample framework when the sample size n is large, but the dimension pp is fixed. In this paper, first this paper proposes a high-dimensional AIC (denoted by HAIC) which is an as...
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Published in | Journal of multivariate analysis Vol. 122; p. 239 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
New York
Taylor & Francis LLC
01.11.2013
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Subjects | |
Online Access | Get full text |
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Summary: | The AIC and its modifications have been proposed for selecting the degree in a polynomial growth curve model under a large-sample framework when the sample size n is large, but the dimension pp is fixed. In this paper, first this paper proposes a high-dimensional AIC (denoted by HAIC) which is an asymptotic unbiased estimator of the AIC-type risk function defined by the expected log-predictive likelihood or equivalently the Kullback-Leibler information, under a high-dimensional framework such that p/n...c...[0,1). It is noted that the new criterion gives an estimator with small biases in a wide range of p and n. Next this paper derives asymptotic distributions of AIC and HAIC under the high-dimensional framework. Through a Monte Carlo simulation, we note that these new approximations are more accurate than the approximations based on a large-sample framework. (ProQuest: ... denotes formulae/symbols omitted.) |
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ISSN: | 0047-259X 1095-7243 |