Robustness Against Incidental Parameters and Mixing Distributions
Neyman and Scott (1948) define the incidental parameter problem. In panel data with T observations per individual and unobservable individual- specific effects, the inconsistency of the maximum likelihood estimator of the common parameters is in general of the order 1/T. This paper considers the integrated likelihood estimator and develops the integrated moment estimator. It shows that the inconsistency of the integrated likelihood estimator reduces from 1/T to 1/T2 if an information orthogonal parametrization is used. It derives information orthogonal moment functions for the general linear model and the index model with weakly exogenous regressors and thereby offers an approximate solution for the incidental parameter problem for a wide range of models. It argues that reparametrizations are easier in a Bayesian framework and shows how to use the 1/T2- result to increase the robustness against the choice of mixing distribution. The integrated likelihood estimator is consistent and adaptive for asympototics in which T proportional to N to the power alpha where alpha is larger than 1/3. The paper also shows that likelihood methods that use sufficient statistics for the individual-specific effects can be viewed as a special case of the integrated likelihood estimator.
|Date of creation:||2001|
|Contact details of provider:|| Postal: Department of Economics, Reference Centre, Social Science Centre, University of Western Ontario, London, Ontario, Canada N6A 5C2|
Phone: 519-661-2111 Ext.85244
Web page: http://economics.uwo.ca/research/research_papers/department_working_papers.html
When requesting a correction, please mention this item's handle: RePEc:uwo:uwowop:200110. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.