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On the Existence of Conditional Maximum Likelihood Estimates of the Binary Logit Model with Fixed Effects

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  • Martin Mugnier

Abstract

By exploiting McFadden (1974)'s results on conditional logit estimation, we show that there exists a one-to-one mapping between existence and uniqueness of conditional maximum likelihood estimates of the binary logit model with fixed effects and the configuration of data points. Our results extend those in Albert and Anderson (1984) for the cross-sectional case and can be used to build a simple algorithm that detects spurious estimates in finite samples. As an illustration, we exhibit an artificial dataset for which the STATA's command \texttt{clogit} returns spurious estimates.

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  • Martin Mugnier, 2020. "On the Existence of Conditional Maximum Likelihood Estimates of the Binary Logit Model with Fixed Effects," Papers 2009.09998, arXiv.org, revised Sep 2020.
    • Handle: RePEc:arx:papers:2009.09998
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    1. B. D. McCullough & H. D. Vinod, 2003. "Verifying the Solution from a Nonlinear Solver: A Case Study," American Economic Review, American Economic Association, vol. 93(3), pages 873-892, June.
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