Title : ( Some asymptotic results of kernel density estimator in length-biased sampling )
Authors: masoud ajami , Vahid Fakoor , Sara Jomhoori ,
Full TextAbstract
In this paper, we prove the strong uniform consistency and asymptotic normality of the kernel density estimator proposed by Jones [12] for length-biased data.The approach is based on the invariance principle for the empirical processes proved by Horváth [10]. All simulations are drawn for different cases to demonstrate both, consistency and asymptotic normality and the method is illustrated by real automobile brake pads data.
Keywords
, Asymptotic normality; Length, biased; Strong consistency; Strong Gaussian approximation
@article{paperid:1036529,
author = {Ajami, Masoud and Fakoor, Vahid and Sara Jomhoori},
title = {Some asymptotic results of kernel density estimator in length-biased sampling},
journal = {Journal of Sciences, Islamic Republic of Iran},
year = {2013},
volume = {24},
number = {1},
month = {January},
issn = {1016-1104},
pages = {55--62},
numpages = {7},
keywords = {Asymptotic normality; Length-biased; Strong consistency; Strong Gaussian
approximation},
}
%0 Journal Article
%T Some asymptotic results of kernel density estimator in length-biased sampling
%A Ajami, Masoud
%A Fakoor, Vahid
%A Sara Jomhoori
%J Journal of Sciences, Islamic Republic of Iran
%@ 1016-1104
%D 2013
