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• W2162915957 abstract "For a general class of order selection criteria, we establish analytic and non-asymptotic evaluations of both the underfitting and overfitting sets of selected models. These evaluations are further specified in various situations including regressions and autoregressions with finite or infinite variances. We also show how upper bounds for the misfitting probabilities and hence conditions ensuring the weak consistency can be derived from the given evaluations. Moreover, it is demonstrated how these evaluations, combined with a law of the iterated logarithm for some relevant statistic, can provide conditions ensuring the strong consistency of the model selection criterion used." @default.
• W2162915957 created "2016-06-24" @default.
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• W2162915957 date "1999-08-01" @default.
• W2162915957 modified "2023-09-30" @default.
• W2162915957 title "On the Underfitting and Overfitting Sets of Models Chosen by Order Selection Criteria" @default.
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• W2162915957 doi "https://doi.org/10.1006/jmva.1999.1828" @default.
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