Localization of two radioactive sources on the plane

O. V. Chernoyarov, S. Dachian (), C. Farinetto and Yu. A. Kutoyants
Additional contact information
O. V. Chernoyarov: National Research University “MPEI”
S. Dachian: University of Lille
C. Farinetto: Le Mans University
Yu. A. Kutoyants: National Research University “MPEI”

Statistical Inference for Stochastic Processes, 2024, vol. 27, issue 1, No 1, 23 pages

Abstract: Abstract 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.

Keywords: Poisson process; Parameter estimation; Cusp-type singularity; 62M02; 62G10; 62G20 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11203-023-09297-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sistpr:v:27:y:2024:i:1:d:10.1007_s11203-023-09297-9

Ordering information: This journal article can be ordered from
http://www.springer. ... ty/journal/11203/PS2

DOI: 10.1007/s11203-023-09297-9

Access Statistics for this article

Statistical Inference for Stochastic Processes is currently edited by Denis Bosq, Yury A. Kutoyants and Marc Hallin

More articles in Statistical Inference for Stochastic Processes from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().