Moderate deviations for deconvolution kernel density estimators with ordinary smooth measurement errors

Weixing Song

Statistics & Probability Letters, 2010, vol. 80, issue 3-4, 169-176

Abstract: In this paper, we establish the pointwise and uniform moderate deviations limit results for the deconvolution kernel density estimator in the errors-in-variables model, when the measurement error possesses an ordinary smooth distribution. The results are similar to the moderate deviations theorems for the classical kernel density estimators, but a factor related to the ordinary smooth order is needed to account for the measurement errors.

Date: 2010
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