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Asymptotic normality of the integrated square error of a density estimator in the convolution model
convolution density estimation nonparametric density estimation central limit theorem integrated squared error noisy observations
2009/2/23
In this paper we consider a kernel estimator of a density in a convolution model and give a central limit theorem for its integrated square error (ISE). The kernel estimator is rather classical in min...
Adaptive estimation of linear functionals in the convolution model and applications
adaptive density estimation ARCH models deconvolution linear functionals model selection penalized contrast
2010/3/18
We consider the model Zi = Xi + εi, for i.i.d. Xi’s and εi’s and independent sequences (Xi)i2Nand (εi)i2N. The density f" of ε1 is assumed to be known, whereas the one of X1, denoted by
g, is unknown...