Change-point estimation from indirect observations 1. Minimax complexity
نویسندگان
چکیده
We consider the problem of nonparametric estimation of signal singularities from indirect and noisy observations. Here by singularity we mean a discontinuity (change– point) of the signal or of its derivative. The model of indirect observations we consider is that of a linear transform of the signal, observed in white noise. The estimation problem is analyzed in a minimax framework. We provide lower bounds for minimax risks and propose rate-optimal estimation procedures.
منابع مشابه
Optimal Change-point Estimation from Indirect Observations by A. Goldenshluger,1 A. Tsybakov
We study nonparametric change-point estimation from indirect noisy observations. Focusing on the white noise convolution model, we consider two classes of functions that are smooth apart from the change-point. We establish lower bounds on the minimax risk in estimating the change-point and develop rate optimal estimation procedures. The results demonstrate that the best achievable rates of conv...
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