Robustness Against Incidental Parameters and Mixing Distributions

Tiemen Woutersen

No 200110, University of Western Ontario, Departmental Research Report Series from University of Western Ontario, Department of Economics

Abstract: 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: 2001
New Economics Papers: this item is included in nep-ecm
References: Add references at CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
https://ir.lib.uwo.ca/cgi/viewcontent.cgi?article=1382&context=economicsresrpt (application/pdf)
Our link check indicates that this URL is bad, the error code is: 403 Forbidden

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:uwo:uwowop:200110

Ordering information: This working paper can be ordered from
https://economics.uw ... itting_ordering.html
The price is Paper copy available by mail at a cost of $10.00 Canadian each.

Access Statistics for this paper

More papers in University of Western Ontario, Departmental Research Report Series from University of Western Ontario, Department of Economics Department of Economics, Social Science Centre, University of Western Ontario, London, Ontario, Canada N6A 5C2.
Bibliographic data for series maintained by ().