On moment-density estimation in some biased models

Details On moment-density estimation in some biased models On moment-density estimation in some biased models

2006-11-07

arxiv.org/abs/math/0611190v1

IMS Lecture Notes--Monograph Series 2006, Vol. 49, 322-333

Mathematics

Statistics Theory

Published at http://dx.doi.org/10.1214/074921706000000536 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/

Scientific paper

10.1214/074921706000000536

This paper concerns estimating a probability density function $f$ based on iid observations from $g(x)=W^{-1} w(x) f(x)$, where the weight function $w$ and the total weight $W=\int w(x) f(x) dx$ may not be known. The length-biased and excess life distribution models are considered. The asymptotic normality and the rate of convergence in mean squared error (MSE) of the estimators are studied.

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