Maximum Likelihood Estimation in Panels with Incidental Trends

It is shown that the maximum likelihood estimator of a local to unity parameter can be consistently estimated with panel data when the cross section observations are independent. Consistency applies when there are no deterministic trends or when there is a homogeneous deterministic trend in the panel model. When there are heterogeneous deterministic trends the panel MLE of the local to unity parameter is inconsistent. This outcome provides a new instance of inconsistent ML estimation in dynamic panels, and, unlike earlier results of this type, applies when both T approaches infinity and N approaches infinity.

[1]  P. Phillips,et al.  A Primer on Unit Root Testing , 1998 .

[2]  Jinyong Hahn,et al.  Asymptotically Unbiased Inference for a Dynamic Panel Model with Fixed Effects When Both N and T are Large , 2000 .

[3]  M. Nerlove,et al.  Biases in dynamic models with fixed effects , 1988 .

[4]  W. Newey,et al.  Large sample estimation and hypothesis testing , 1986 .

[5]  Graham Elliott,et al.  Inference in Models with Nearly Integrated Regressors , 1995, Econometric Theory.

[6]  Mark W. Watson,et al.  Estimating Deterministic Trends in the Presence of Serially Correlated Errors , 1994, Review of Economics and Statistics.

[7]  L. Hansen.  Large Sample Properties of Generalized Method of Moments Estimators , 1982 .

[8]  P. Phillips,et al.  Linear Regression Limit Theory for Nonstationary Panel Data , 1999 .

[9]  J. Stock.  Unit roots, structural breaks and trends , 1986 .

[10]  Peter C. B. Phillips,et al.  ESTIMATION OF AUTOREGRESSIVE ROOTS NEAR UNITY USING PANEL DATA , 1999, Econometric Theory.

[11]  S. Johansen.  Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models , 1991 .

[12]  Peter C. B. Phillips,et al.  Towards a Unified Asymptotic Theory for Autoregression , 1987 .

[13]  J. Neyman,et al.  Consistent Estimates Based on Partially Consistent Observations , 1948 .

[14]  P. Phillips,et al.  Efficiency Gains from Quasi-Differencing under Nonstationarity , 1996 .

[15]  P. Phillips,et al.  HOW TO ESTIMATE AUTOREGRESSIVE ROOTS NEAR UNITY , 2001, Econometric Theory.