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Asymmetric Kernel Density Estimator for Length Biased Data.

Title:

Asymmetric Kernel Density Estimator for Length Biased Data.

Chaubey, Yogendra P. and Li, Jun (2012) Asymmetric Kernel Density Estimator for Length Biased Data. Contemporary Topics in Mathematics and Statistics with Applications . (In Press)

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Abstract

This article considers smooth density estimation based on length biased data that involves a random sample based on a nonnegative random variable (r.v.) having a continuous probability density function (pdf) g(x) that is proportional to another density f(x) weighted by a weight function w(x). The density f(x) is of interest. In the present article we investigate the adaptation of asymmetric kernel estimator proposed and studied in Chaubey, Sen and Sen (2007, Technical Report 01/07, Department of Mathematics & Statistics, Concordia University) through smoothing of the usual empirical distribution function and the Cox's estimator. Our simulation study demonstrates that the asymmetric kernel estimators proposed here are good competitors to other estimators.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Article
Refereed:Yes
Authors:Chaubey, Yogendra P. and Li, Jun
Journal or Publication:Contemporary Topics in Mathematics and Statistics with Applications
Date:2012
Funders:
  • NSERC
ID Code:973586
Deposited By:YOGENDRA CHAUBEY
Deposited On:24 May 2012 09:24
Last Modified:24 May 2012 09:24
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