A Comparative Simulation Study of Wavelet Shrinkage Estimators for Poisson Counts

DOI10.1111/j.1751-5823.2004.tb00234.xzbMath1211.62055OpenAlexW1972831993MaRDI QIDQ4832092

Italia De Feis, Panagiotis Besbeas, Theofanis Sapatinas

Publication date: 3 January 2005

Published in: International Statistical Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1751-5823.2004.tb00234.x

Mathematics Subject Classification ID

Related Items (15)

Multilevel algorithm for a Poisson noise removal model with total-variation regularization ⋮ Unnamed Item ⋮ Gaussianization machines for non-Gaussian function estimation models ⋮ Intensity estimation of non-homogeneous Poisson processes from shifted trajectories ⋮ Data-driven wavelet-Fisz methodology for nonparametric function estimation ⋮ Near optimal thresholding estimation of a Poisson intensity on the real line ⋮ Time-threshold maps: using information from wavelet reconstructions with all threshold values simultaneously ⋮ WAVELET-BASED FEATURE EXTRACTION FOR MORTALITY PROJECTION ⋮ Fast Poisson noise removal by biorthogonal Haar domain hypothesis testing ⋮ Nonparametric regression in exponential families ⋮ Multiresolution analysis of point processes and statistical thresholding for Haar wavelet-based intensity estimation ⋮ Adaptive Posterior Mode Estimation of a Sparse Sequence for Model Selection ⋮ Non-parametric Poisson regression from independent and weakly dependent observations by model selection ⋮ Fast interscale wavelet denoising of Poisson-corrupted images ⋮ Estimation of a delta-contaminated density of a random intensity of Poisson data

Uses Software

• WaveLab

Cites Work

• Probability approximations via the Poisson clumping heuristic
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• Equivalence of Smoothing Parameter Selectors in Density and Intensity Estimation
• Ten Lectures on Wavelets
• A crossvalidatory AIC for hard wavelet thresholding in spatially adaptive function estimation
• Ideal spatial adaptation by wavelet shrinkage
• Understanding WaveShrink: variance and bias estimation
• Bayesian Multiscale Models for Poisson Processes
• Multiscale modeling and estimation of Poisson processes with application to photon-limited imaging
• THE TRANSFORMATION OF POISSON, BINOMIAL AND NEGATIVE-BINOMIAL DATA
• The limiting distribution of a function of two independent random variables and its statistical application
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