Journal Article

Simple solutions to the initial conditions problem in dynamic, nonlinear panel data models with unobserved heterogeneity

Authors

Jeffrey M. Wooldridge

Published Date

1 January 2005

Type

Journal Article

I study a simple, widely applicable approach to handling the initial conditions problem in dynamic, nonlinear unobserved effects models. Rather than attempting to obtain the joint distribution of all outcomes of the endogenous variables, I propose finding the distribution conditional on the initial value (and the observed history of strictly exogenous explanatory variables). The approach is flexible, and results in simple estimation strategies for at least three leading dynamic, nonlinear models: probit, Tobit, and Poisson regression. I treat the general problem of estimating average partial effects, and show that simple estimators exist for important special cases.