Localization of two radioactive sources on the plane O. V. Chernoyarov, S. Dachian, C. Farinetto, Yu. A. Kutoyants
Material type:
ArticleContent type: Текст Media type: электронный Subject(s): пуассоновские процессы | оценка параметров | байесовские оценкиGenre/Form: статьи в журналах Online resources: Click here to access online
In:
Statistical inference for stochastic processes Vol. 27, № 1. P. 1-23Abstract: 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.
Библиогр.: с. 22
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.
There are no comments on this title.