On the Existence of the Maximum Likelihood Estimates for Poisson Regression
AbstractWe note that the existence of the maximum likelihood estimates for Poisson regression depends on the data configuration. Because standard software does not check for this problem, the practitioner may be surprised to find that in some applications estimation of the Poisson regression is unusually difficult or even impossible. More seriously, the estimation algorithm may lead to spurious maximum likelihood estimates. We identify the signs of the non-existence of the maximum likelihood estimates and propose a simple empirical strategy to single out the regressors causing this type of identification failure.
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Bibliographic InfoPaper provided by Centre for Economic Performance, LSE in its series CEP Discussion Papers with number dp0932.
Date of creation: May 2009
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Poisson estimation; gravity equation;
Other versions of this item:
- Joao Santos Silva & Silvana Tenreyro, 2009. "On the existence of the maximum likelihood estimates for Poisson regression," LSE Research Online Documents on Economics 25504, London School of Economics and Political Science, LSE Library.
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General
- F10 - International Economics - - Trade - - - General
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