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Localization of two radioactive sources on the plane

Author

Listed:
  • O. V. Chernoyarov

    (National Research University “MPEI”
    Tomsk State University)

  • S. Dachian

    (University of Lille)

  • C. Farinetto

    (Le Mans University)

  • Yu. A. Kutoyants

    (National Research University “MPEI”
    Le Mans University
    Tomsk State University)

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.

Suggested Citation

  • O. V. Chernoyarov & S. Dachian & C. Farinetto & Yu. A. Kutoyants, 2024. "Localization of two radioactive sources on the plane," Statistical Inference for Stochastic Processes, Springer, vol. 27(1), pages 1-23, April.
    • Handle: RePEc:spr:sistpr:v:27:y:2024:i:1:d:10.1007_s11203-023-09297-9
    DOI: 10.1007/s11203-023-09297-9
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    References listed on IDEAS

    as
    1. Wei Wang & Haoshan Shi & Pengyu Huang & Dingyi Fang & Xiaojiang Chen & Yun Xiao & Fuping Wu, 2015. "A Grid-Based Linear Least Squares Self-Localization Algorithm in Wireless Sensor Network," International Journal of Distributed Sensor Networks, , vol. 11(8), pages 317603-3176, August.
    2. Hong Wan & Tonglin Zhang & Yu Zhu, 2012. "Detection and localization of hidden radioactive sources with spatial statistical method," Annals of Operations Research, Springer, vol. 192(1), pages 87-104, January.
    3. S. Dachian, 2003. "Estimation of Cusp Location by Poisson Observations," Statistical Inference for Stochastic Processes, Springer, vol. 6(1), pages 1-14, January.
    Full references (including those not matched with items on IDEAS)

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