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Robustness against Incidental Parameters

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Author Info
Tiemen Woutersen (The University of Western Ontario Department of Economics)

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Abstract

Neyman and Scott (1948) define the incidental parameter problem. In panel data with T observations per individual and unobservable individual-specific effects, the maximum likelihood estimator of the common parameters is in general inconsistent. This paper develops the integrated moment estimator. It shows that the inconsistency of the integrated moment estimator is of a low order, $O(T^{-2}),$ and thereby offers an approximate solution for the incidental parameter problem. The integrated moment estimator allows for exogenous regressors, time dummies and lagged dependent variables and is efficient for an asymptotics in which T increases faster than N^1/3. We adjust the integrated likelihood estimator to allow for general predetermined regressors. The paper also shows that methods that rely on differencing away the individual-specific effects can be viewed as special cases of the integrated moment estimator.

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File URL: http://economics.uwo.ca/econref/WorkingPapers/researchreports/wp2002/wp2002_8.pdf
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Publisher Info
Paper provided by University of Western Ontario, Department of Economics in its series UWO Department of Economics Working Papers with number 20028.

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Date of creation: Oct 2002
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Handle: RePEc:uwo:uwowop:20028

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Postal: Department of Economics, Reference Centre, Social Science Centre, University of Western Ontario, London, Ontario, Canada N6A 5C2
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Web page: http://economics.uwo.ca/econref/WorkingPapers/

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Related research
Keywords: Incidental parameters; predetermined variables; panel data;

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  1. Arthur Lewbel, 2006. "Modeling Heterogeneity," Boston College Working Papers in Economics 650, Boston College Department of Economics. [Downloadable!]
  2. Jinyong Hahn & Whitney Newey, 2003. "Jackknife and analytical bias reduction for nonlinear panel models," CeMMAP working papers CWP17/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
  3. Laura Hospido, 2007. "Modelling heterogeneity and dynamics in the volatility of individual wages," Banco de España Working Papers 0738, Banco de España. [Downloadable!]
    Other versions:
  4. Manuel Arellano & Stéphane Bonhomme, 2007. "Robust priors in nonlinear panel data models," CeMMAP working papers CWP07/07, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
  5. Kyoo il Kim, 2006. "Higher Order Bias Correcting Moment Equation for M-Estimation and its Higher Order Efficiency," Working Papers 17-2006, Singapore Management University, School of Economics. [Downloadable!]
  6. Martin Browning & Jesus Carro, 2006. "Heterogeneity and Microeconometrics Modelling," CAM Working Papers 2006-03, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics. [Downloadable!]
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