On the identification of the source of emission on the plane N. V. Arakelyan, Yu. A. Kutoyants
Material type:
ArticleSubject(s): неоднородный пуассоновский процесс | оценка параметров | источники излучения | локализация на плоскости | асимптотические свойстваGenre/Form: статьи в журналах Online resources: Click here to access online
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Proceedings of the Yerevan State University, series physical and mathematical sciences Vol. 53, № 2. P. 75-81Abstract: 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.
Библиогр.: 11 назв.
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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