Year: 2006
Type: book-chapter
Abstract: <!-- *** Custom HTML *** --> 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) \, d x $ 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.
Authors: Robert M. Mnatsakanov, Frits H. Ruymgaart
Institutions: West Virginia University, Texas Tech University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1494410652