Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Jan, 1982, Volume 50, Issue 1

On the Asymptotic Properties of Estimators of Models Containing Limited Dependent Variables<27:OTAPOE>2.0.CO;2-T
p. 27-42

Peter M. Robinson

For the Tobit model with independent observations, Amemiya [1] has established the strong consistency and asymptotic normality of a stationary point, @Q, of the log-likelihood. The likelihood for dependent observations may be computationally intractable, so the behavior of @Q in the presence of serially correlated observations is of interest. Under a relaxation of Amemiya's assumption of independence, we prove that @Q is strongly consistent and asymptotically normal, and give an expression for the limiting covariance matrix.

Log In To View Full Content