Localization of Two Radioactive Sources on the Plane

Chernoyarov, O.; Dachian, Serguei; Farinetto, C.; Kutoyants, Yu.

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1007/s11203-023-09297-9

Titre :

Localization of Two Radioactive Sources on the Plane

Auteur(s) :

Chernoyarov, O. [Auteur]
Moscow Power Engineering Institute [MPEI]
Tomsk State University [Tomsk]
Dachian, Serguei [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Farinetto, C. [Auteur]
Laboratoire Manceau de Mathématiques [LMM]
Kutoyants, Yu. [Auteur]
Laboratoire Manceau de Mathématiques [LMM]

Titre de la revue :

Statistical Inference for Stochastic Processes

Pagination :

1-23

Éditeur :

Springer Verlag

Date de publication :

2024

ISSN :

1387-0874

Mot(s)-clé(s) en anglais :

Poisson process
parameter estimation
cusp-type singularity

Discipline(s) HAL :

Statistiques [stat]/Théorie [stat.TH]

Résumé en anglais : [en]

It is considered the problem of localization on the plane of two radioactive sources by K detectors. Each detector records a realization of inhomogeneous Poisson process and the intensity function of this process is a sum ...
Lire la suite >It is considered the problem of localization on the plane of two radioactive sources by K detectors. Each detector records a realization of inhomogeneous Poisson process and the intensity function of this process is a sum of a signal arriving from the sources and the constant Poisson noise of known intensity. The time of the beginning of emissions of two sources is known and the main problem is the estimation of the position of the sources. The properties of the MLE and Bayessian estimators are described in the asymptotics of large signals in three situations of different regularities of the fronts of the signals: smooth, cusp-type and change-point type.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :