ON THE IDENTIFICATION OF THE SOURCE OF EMISSION ON THE PLANE

Authors

  • N.V. Arakelyan Le Mans Université, France
  • Yu.A. Kutoyants Tomsk State University, Russia; Le Mans Université, France

DOI:

https://doi.org/10.46991/PYSU:A/2019.53.2.075

Keywords:

inhomogeneous Poisson process, parameter estimation, localization on the plane

Abstract

We consider the problem of identification of the position and the moment of the beginning of a radioactive source emission on the plane. The acts of emission constitute inhomogeneous Poisson processes and are registered by $ K $ detectors on the plane. We suppose that the moments of arriving of the signals at the detectors are measured with some small errors. Then, using these estimate, we construct the estimators of the position of source and the moment of the beginning of emission. We study the asymptotic properties of these estimators for large signals and prove their consistency.

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Published

2019-08-15

How to Cite

Arakelyan, N., & Kutoyants, Y. . (2019). ON THE IDENTIFICATION OF THE SOURCE OF EMISSION ON THE PLANE. Proceedings of the YSU A: Physical and Mathematical Sciences, 53(2 (249), 75–81. https://doi.org/10.46991/PYSU:A/2019.53.2.075

Issue

Section

Mathematics