CPR Working Paper Series No. 104

 

Semiparametric Deconvolution with Unknown Error Variance

William C. Horrace and Christopher F. Parmeter

April 2008

Abstract:

Deconvolution is a useful statistical technique for recovering an unknown density in the presence of measurement error. Typically, the method hinges on stringent assumptions about the nature of the measurement error, more specifically, that the distribution is entirely known. We relax this assumption in the context of a regression error component model and develop an estimator for the unknown density. We show semi-uniform consistency of the estimator and provide Monte Carlo evidence that demonstrates the merits of the method.

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