Combining kernel estimators in the uniform deconvolution problem

Details Combining kernel estimators in the uniform deconvolution problem Combining kernel estimators in the uniform deconvolution problem

2002-11-05

arxiv.org/abs/math/0211079v3

Mathematics

Statistics Theory

Scientific paper

We construct a density estimator and an estimator of the distribution
function in the uniform deconvolution model. The estimators are based on
inversion formulas and kernel estimators of the density of the observations and
its derivative. Asymptotic normality and the asymptotic biases are derived.

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