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Weighted Logistic Regression

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Statistical Methods for Imbalanced Data in Ecological and Biological Studies

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Abstract

We consider an asymmetric logistic regression model as an example of a weighted logistic regression model, where the weights in the estimating equation vary according to the explanatory variables, thereby alleviating the imbalance of effective sample sizes between class labels \(y=0\) and \(y=1\). This model is extended to have a double robust property based on a propensity score, so that it has consistent estimators. We illustrate the utility of both models using the RAM and FAO data from fishery science.

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Authors and Affiliations

  1. Seikei University, Musashino, Tokyo, Japan

    Osamu Komori

  2. The Institute of Statistical Mathematics, Tachikawa, Tokyo, Japan

    Shinto Eguchi

Authors
  1. Osamu Komori
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  2. Shinto Eguchi
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Correspondence to Osamu Komori .

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Komori, O., Eguchi, S. (2019). Weighted Logistic Regression. In: Statistical Methods for Imbalanced Data in Ecological and Biological Studies. SpringerBriefs in Statistics(). Springer, Tokyo. https://doi.org/10.1007/978-4-431-55570-4_2

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