Yoosoon Chang, Joon Y. Park, Guo Yan
arXiv 30 Jan 2026 · Econometrics
arXiv:2601.22659 · PDF · DOI · OpenAlex · Extracted main text
The support vector machine (SVM) has an asymptotic behavior that parallels that of the quasi-maximum likelihood estimator (QMLE) for binary outcomes generated by a binary choice model (BCM), although it is not a QMLE. We show that, under the linear conditional mean condition for covariates given the systematic component used in the QMLE slope consistency literature, the slope of the separating hyperplane given by the SVM consistently estimates the BCM slope parameter, as long as the class weight is used as required when binary outcomes are severely imbalanced. The SVM slope estimator is asymptotically equivalent to that of logistic regression in this sense. The finite-sample performance of the two estimators can be quite distinct depending on the distributions of covariates and errors, but neither dominates the other. The intercept parameter of the BCM can be consistently estimated once a consistent estimator of its slope parameter is obtained.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Chang, Yoosoon and Park, Joon Y and Yan, Guo (2025) Slope Consistency of Quasi-Maximum Likelihood Estimator for Binary Choice Models self | 1.000 | 6 | 3 | 100% |
| 2 | Charles F. Manski (1985) Semiparametric Analysis of Discrete Response: Asymptotic Properties of the Maximum Score Estimator | 0.794 | 6 | 4 | 50% |
| 3 | Paul A Ruud (1986) Consistent Estimation of Limited Dependent Variable Models Despite Misspecification of Distribution | 0.737 | 3 | 2 | 100% |
| 4 | Ja-Yong Koo and Yoonkyung Lee and Yuwon Kim and Changyi Park (2008) A Bahadur Representation of the Linear Support Vector Machine | 0.644 | 4 | 1 | 100% |
| 5 | Joel L. Horowitz (1992) A Smoothed Maximum Score Estimator for the Binary Response Model | 0.644 | 2 | 2 | 100% |
| 6 | Charles F. Manski (1975) Maximum Score Estimation of the Stochastic Utility Model of Choice | 0.644 | 2 | 2 | 100% |
| 7 | Newey, Whitney K and Ruud, Paul A (1994) Density weighted linear least squares | 0.644 | 2 | 2 | 100% |
| 8 | Chen, Le-Yu and Lee, Sokbae and Sung, Myung Jae (2014) Maximum Score Estimation with Nonparametrically Generated Regressors | 0.606 | 6 | 2 | 33% |
| 9 | A.W. van der Vaart and Jon A. Wellner (1996) Weak Convergence and Empirical Processes | 0.523 | 7 | 3 | 14% |
| 10 | A.W. van der Vaart (2000) Asymptotic Statistics | 0.511 | 3 | 2 | 33% |
Showing the top 10 of 22 scored citations.