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Adaptive quantile estimation in deconvolution with unknown error distribution
Deconvolution Quantile and distribution function Adaptive es-timation Minimax convergence rates Random Fourier multiplier
2013/4/27
We study the problem of quantile estimation in deconvolution with ordinary smooth error distributions. In particular, we focus on the more realistic setup of unknown error distributions. We develop a ...
Deconvolution with unknown error distribution
Deconvolution Fourier transform kernel estimation spectralcut off Sobolev space source condition optimal rate of convergence
2010/4/29
We assume that an additional sample x1, . . . , xm from fx is observed.
Estimators of fX and its derivatives are constructed by using nonparametric
estimators of fY and fx and by applying a spectral...