Weak convergence of the supremum distance for supersmooth kernel deconvolution

Bert van Es and Shota Gugushvili

Statistics & Probability Letters, 2008, vol. 78, issue 17, 2932-2938

Abstract: We derive the asymptotic distribution of the supremum distance of the deconvolution kernel density estimator to its expectation for certain supersmooth deconvolution problems. It turns out that the asymptotics are essentially different from corresponding results for ordinary smooth deconvolution.

Date: 2008
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