Nonparametric estimation of a shot-noise process
Résumé
We propose an efficient method to estimate in a nonpara-metric fashion the marks' density of a shot-noise process in presence of pile-up from a sample of low-frequency observations. Based on a functional equation linking the marks' density to the characteristic function of the observations and its derivative, we propose a new time-efficient method using B-splines to estimate the density of the underlying γ-ray spectrum which is able to handle large datasets used in nuclear physics. A discussion on the numerical computation of the algorithm and its performances on simulated data are provided to support our findings.
Mots clés
pile-up correction
γ-spectroscopy
B- splines
nonparametric estimation
Shot-noise
Estimation
Photonics
Detectors
Signal processing algorithms
functional equations
gamma-ray spectroscopy
high energy physics instrumentation computing
functional equation
time-efficient method
B-splines
gamma-ray spectrum
nuclear physics
Index Terms-Shot-noise
| Origine | Fichiers produits par l'(les) auteur(s) |
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