Bias-corrected AIC for selecting variables in Poisson regression models

نویسندگان

  • Ken-ichi Kamo
  • Hirokazu Yanagihara
  • Kenichi Satoh
چکیده

ABSTRACT In the present paper, we consider the variable selection problem in Poisson regression models. Akaike’s information criterion (AIC) is the most commonly applied criterion for selecting variables. However, the bias of the AIC cannot be ignored, especially in small samples. We herein propose a new bias-corrected version of the AIC that is constructed by stochastic expansion of the maximum likelihood estimator. The proposed information criterion can reduce the bias of the AIC from O(n−1) to O(n−2). The results of numerical

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تاریخ انتشار 2009