On Model Selection and the ARC Sine Laws

Michael Woodroofe

doi:10.1214/aos/1176345983

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Home > Journals > Ann. Statist. > Volume 10 > Issue 4 > Article

December, 1982 On Model Selection and the ARC Sine Laws

Michael Woodroofe

Ann. Statist. 10(4): 1182-1194 (December, 1982). DOI: 10.1214/aos/1176345983

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Abstract

Generalizations of the arc sine laws are shown to provide insight into the operating characteristics of certain techniques for selecting models to fit a given data set, when the available models are nested. As a corollary, one sees that a popular technique may be expected to include about one superfluous parameter, even if the sample size is large.

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Michael Woodroofe. "On Model Selection and the ARC Sine Laws." Ann. Statist. 10 (4) 1182 - 1194, December, 1982. https://doi.org/10.1214/aos/1176345983