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Guimaraes et al. (Rev Econ Stat, 2003, 85/1) describe the conditions under which the results from poisson regression models and conditional logit models are equivalent. I am trying to find out whether this result also holds i) for fixed effects panel data; ii) for negative binomial models; and iii) (for completeness' sake) fixed effect negative binomial models. It would be extremely helpful if you could point me to some relevant literature, if it exists.

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    $\begingroup$ Can you give a full citation? Off-the-cuff I doubt iii holds, as the estimate of the dispersion parameter makes the negative binomial panel model not really "fixed effects" - see Fixed–Effects Negative Binomial Regression Models (Allison & Waterman, 2002), PDF here, for discussion. $\endgroup$ – Andy W Aug 7 '14 at 12:47
  • $\begingroup$ @AndyW The full citation is: Guimaraes, P., O. Figueirdo, and D. Woodward, 'A tractable approach to the firm location decision problem', the Review of Economics and Statistics, 2003, 85(1): 201-204. doi:10.1162/003465303762687811 $\endgroup$ – Matthijs Aug 7 '14 at 13:12
  • $\begingroup$ @AndyW And if I understand Allison&Waterman correctly, I could estimate unconditional fixed effects models by including dummy variables in the specification of the mean. The incidental parameter problem might exist, but seems to be small in this case. $\endgroup$ – Matthijs Aug 7 '14 at 13:20
  • $\begingroup$ Well that is the recommendation by Allison in that particular paper, supported by a simulation study with a fairly large cross section (100) and a small number of repeated observations (2). It is unclear to me if the same advice would hold in different circumstances, and/or with more interesting unobserved fixed effects. $\endgroup$ – Andy W Aug 7 '14 at 14:25
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Check out:

I think it shows the connection to the negative binomial.

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  • $\begingroup$ Welcome to the site, @user61841. Would you mind expanding on the connection shown there a little? The citation is helpful, but a little more information would be nice. At present, this is more of a comment than an answer. $\endgroup$ – gung - Reinstate Monica Dec 1 '14 at 15:54

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