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

@article{Rao2010WaveletLE, title={Wavelet linear estimation for derivatives of a density from observations of mixtures with varying mixing proportions}, author={B. L. S. Prakasa Rao}, journal={Indian Journal of Pure and Applied Mathematics}, year={2010}, volume={41}, pages={275-291} }

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 L2 and L∞ losses are obtained for such estimators.

## 14 Citations

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