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- W2059179640 abstract "The logistic regression model is known to converge to a Poisson point process model if the binary response tends to infinitely imbalanced. In this paper, it is shown that this phenomenon is universal in a wide class of link functions on binomial regression. The proof relies on the extreme value theory. For the logit, probit and complementary log-log link functions, the intensity measure of the point process becomes an exponential family. For some other link functions, deformed exponential families appear. A penalized maximum likelihood estimator for the Poisson point process model is suggested." @default.
- W2059179640 created "2016-06-24" @default.
- W2059179640 creator A5089741239 @default.
- W2059179640 date "2013-03-29" @default.
- W2059179640 modified "2023-09-23" @default.
- W2059179640 title "Infinitely imbalanced binomial regression and deformed exponential families" @default.
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- W2059179640 doi "https://doi.org/10.48550/arxiv.1303.7297" @default.
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