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On self-consistent estimators and kernel density estimators with doubly censored data
Asymptotic normality Failure rate function Right censored data: Survival distribution Uniform strong consistency
2015/12/11
We study the detailed structure (in a large sample) of the self-consistent estimators of the survival functions with doubly censored data. We also introduce the kernel-type density estimators based on...
Kernel density estimation via diffusion and the complex exponentials approximation problem
condensed density random matrices parabolic PDE
2012/6/21
A kernel method is proposed to estimate the condensed density of the generalized eigenvalues of pencils of Hankel matrices whose elements have a joint noncentral Gaussian distribution with nonidentica...
We present a new adaptive kernel density estimator based on linear diffusion processes. The proposed estimator builds on existing ideas for adaptive smoothing by incorporating information from a pilot...
Bandwidth selection in kernel density estimation: oracle inequalities and adaptive minimax optimality
density estimation kernel estimators Lp–risk oracle inequalities adaptive estimation
2010/11/30
We address the problem of density estimation with L p–loss by selection of kernel estimators. We develop a selection procedure and derive corresponiding L p–risk oracle inequalities. It is shown that ...