Wavelet linear estimation for derivatives of a density from observations of mixtures with varying mixing proportions

B. L. S. Prakasa Rao ()
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B. L. S. Prakasa Rao: University of Hyderabad

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 1, 275-291

Abstract: Abstract A wavelet based linear estimator is proposed for the derivatives of a probability density function based on a sample from a finite mixture of components with varying mixing proportions. It extends the linear estimator of a probability density function proposed by Pokhyl’ko (Theor. Probability and Math. Statist, 70 (2005) 135–145). Upper bounds on L 2 and L ∞ losses are obtained for such estimators.

Keywords: Estimation of derivatives of a density function; wavelets; mixtures of components; varying mixing proportions (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s13226-010-0013-1

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