THE INFORMATION BOUND OF A DYNAMIC PANEL LOGIT MODEL WITH FIXED EFFECTS
Abstract
<jats:p>In this paper, I calculate the semiparametric information bound
in two dynamic panel data logit models with individual specific
effects. In such a model without any other regressors, it is
well known that the conditional maximum likelihood estimator
yields a √<jats:italic>n</jats:italic>-consistent estimator. In the case
where the model includes strictly exogenous continuous regressors,
Honoré and Kyriazidou (2000, <jats:italic>Econometrica</jats:italic> 68,
839–874) suggest a consistent estimator whose rate of
convergence is slower than √<jats:italic>n</jats:italic>. Information bounds
calculated in this paper suggest that the conditional maximum
likelihood estimator is <jats:italic>not</jats:italic> efficient for models without
any other regressor and that √<jats:italic>n</jats:italic>-consistent estimation
is infeasible in more general models.</jats:p>