Localization of two radioactive sources on the plane

被引：0
|
作者：
Chernoyarov, O. V. [1 ,4 ]
Dachian, S. [2 ]
Farinetto, C. [3 ]
Kutoyants, Yu. A. [1 ,3 ,4 ]
机构：
[1] Natl Res Univ MPEI, Moscow, Russia
[2] Univ Lille, Lille, France
[3] Le Mans Univ, Le Mans, France
[4] Tomsk State Univ, Tomsk, Russia
来源：
STATISTICAL INFERENCE FOR STOCHASTIC PROCESSES | 2024年 / 27卷 / 01期
关键词：
Poisson process; Parameter estimation; Cusp-type singularity;
D O I：
10.1007/s11203-023-09297-9
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The problem of localization on the plane of two radioactive sources by K detectors is considered. Each detector records a realization of an inhomogeneous Poisson process whose intensity function is the sum of signals arriving from the sources and of a constant Poisson noise of known intensity. The time of the beginning of emission of the sources is known, and the main problem is the estimation of the positions of the sources. The properties of the maximum likelihood and Bayesian 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.
引用
收藏
页码：1 / 23
页数：23
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