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math.ST2006★ 32 cited
Poisson inverse problems
Anestis Antoniadis, Jéremie Bigot
In this paper we focus on nonparametric estimators in inverse problems for Poisson processes involving the use of wavelet decompositions. Adopting an adaptive wavelet Galerkin disc…
math.ST2005★ 6 cited
A Functional Wavelet-Kernel Approach for Continuous-time Prediction
Anestis Antoniadis, Efstathios Paparoditis, Theofanis Sapatinas
We consider the prediction problem of a continuous-time stochastic process on an entire time-interval in terms of its recent past. The approach we adopt is based on functional kern…