✦ LIBER ✦

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

✍ Scribed by Mustapha Rachdi; Rachid Sabre

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 111 KB
Volume: 47
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(99)00145-5

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✦ Synopsis

We propose two estimates of the mode of the probability density function for nonparametric deconvolution problems. In fact, we observe Y = X + , where is a measurement error with a known distribution f , 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.

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