Wavelet density estimation for stratified size-biased sample |
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| Authors: | Pepa Ramírez Brani Vidakovic |
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| Institution: | 1. GIPSA-lab, Département Images Signal (CNRS), Domaine universitaire 38402 Saint Martin d’Héres Cedex, France;2. Department of Biomedical Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA |
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| Abstract: | In this paper we consider the estimation of a density function on the basis of a random stratified sample from weighted distributions. We propose a linear wavelet density estimator and prove its consistency. The behavior of the proposed estimator and its smoothed versions is eventually illustrated by simulated examples and a case study involving alcohol blood level in DUI cases. |
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| Keywords: | Size-biased data Wavelet density estimation Daubechies&ndash Lagarias algorithm |
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