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Misspecified heteroskedasticity in the panel probit model: A small sample comparison of GMM and SML estimators

  • Joachim Inkmann


    (Center of Finance and Econometrics)

This paper compares generalized method of moments (GMM) and simulated maximum likeli- hood (SML) approaches to the estimation of the panel probit model. Both techniques circum- vent multiple integration of joint density functions without the need to restrict the error term variance-covariance matrix of the latent normal regression model. Particular attention is paid to a three-stage GMM estimator based on nonparametric estimation of the optimal instru- ments for given conditional moment functions. Monte Carlo experiments are carried out which focus on the small sample consequences of misspecification of the error term variance- covariance matrix. The correctly specified experiment reveals the asymptotic efficiency ad- vantages of SML. The GMM estimators outperform SML in the presence of misspecification in terms of multiplicative heteroskedasticity. This holds in particular for the three-stage GMM estimator. Allowing for heteroskedasticity over time increases the robustness with respect to misspecification in terms of ultiplicative heteroskedasticity. An application to the product innovation activities of German manufacturing firms is presented. Classification-JEL: C14, C15, C23, C25

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Paper provided by Center of Finance and Econometrics, University of Konstanz in its series CoFE Discussion Paper with number 99-04.

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Length: 36 pages
Date of creation: Jan 1999
Date of revision:
Handle: RePEc:knz:cofedp:9904
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