Consistent estimates of the mode of the probability density function in nonparametric deconvolution problems

Mustapha Rachdi and Rachid Sabre

Statistics & Probability Letters, 2000, vol. 47, issue 2, 105-114

Abstract: We propose two estimates of the mode of the probability density function for nonparametric deconvolution problems. In fact, we observe Y=X+[xi], where [xi] is a measurement error with a known distribution f[xi], and we are interesting by estimating the mode of fX the unknown probability density function of X, where Y1,...,Yn are n i.i.d given observations of Y. We study the asymptotic properties of these mode estimates and the asymptotic normality of the two mode estimates is also given.

Keywords: Density; Derivative; estimation; Kernel; estimates; Deconvolution; problems; Mode (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (3)

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