Browsing by Subject "Weighted distributions"
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Article
Adaptive quadratic functional estimation of a weighted density by model selection
(2010)We consider the problem of estimating the integral of the square of a probability density function f on the basis of a random sample from a weighted distribution. Specifically, using model selection via a penalized criterion, ...
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Article
Wavelet density estimation for weighted data
(2014)We consider the estimation of a density function on the basis of a random sample from a weighted distribution. We propose linear and nonlinear wavelet density estimators, and provide their asymptotic formulae for mean ...