Estimating the Dimension of a Model

Gideon Schwarz

doi:10.1214/aos/1176344136

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Home > Journals > Ann. Statist. > Volume 6 > Issue 2 > Article

March, 1978 Estimating the Dimension of a Model

Gideon Schwarz

Ann. Statist. 6(2): 461-464 (March, 1978). DOI: 10.1214/aos/1176344136

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Abstract

The problem of selecting one of a number of models of different dimensions is treated by finding its Bayes solution, and evaluating the leading terms of its asymptotic expansion. These terms are a valid large-sample criterion beyond the Bayesian context, since they do not depend on the a priori distribution.