Open Access
June, 1984 Asymptotic Properties of Criteria for Selection of Variables in Multiple Regression
Ryuei Nishii
Ann. Statist. 12(2): 758-765 (June, 1984). DOI: 10.1214/aos/1176346522

Abstract

In normal linear regression analysis, many model selection rules proposed from various viewpoints are available. For the information criteria AIC, FPE, $C_p$, PSS and BIC, the asymptotic distribution of the selected model and the asymptotic quadratic risk based on each criterion are explicitly obtained.

Citation

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Ryuei Nishii. "Asymptotic Properties of Criteria for Selection of Variables in Multiple Regression." Ann. Statist. 12 (2) 758 - 765, June, 1984. https://doi.org/10.1214/aos/1176346522

Information

Published: June, 1984
First available in Project Euclid: 12 April 2007

zbMATH: 0544.62063
MathSciNet: MR740928
Digital Object Identifier: 10.1214/aos/1176346522

Subjects:
Primary: 62J05
Secondary: 62F12

Keywords: $C_p$ , AIC , BIC , FPE , PSS , regression analysis , selection of variables

Rights: Copyright © 1984 Institute of Mathematical Statistics

Vol.12 • No. 2 • June, 1984
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