Poisson source localization on the plane: cusp case O. V. Chernoyarov, S. Dachian, Yu. A. Kutoyants
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ArticleContent type: Текст Media type: электронный Subject(s): неоднородный пуассоновский процесс | байесовское оценивание | сингулярность типа каспGenre/Form: статьи в журналах Online resources: Click here to access online
In:
Annals of the Institute of Statistical Mathematics Vol. 72, № 5. P. 1137-1157Abstract: This work is devoted to the problem of estimation of the localization
of Poisson source. The observations are inhomogeneous Poisson
processes registered by the k ≥ 3 detectors on the plane. We study the
behavior of the Bayes estimators in the asymptotic of large intensities.
It is supposed that the intensity functions of the signals arriving in the
detectors have cusp-type singularity. We show the consistency, limit
distributions and the convergence of moments of these estimators.
Библиогр.: c. 1157
This work is devoted to the problem of estimation of the localization
of Poisson source. The observations are inhomogeneous Poisson
processes registered by the k ≥ 3 detectors on the plane. We study the
behavior of the Bayes estimators in the asymptotic of large intensities.
It is supposed that the intensity functions of the signals arriving in the
detectors have cusp-type singularity. We show the consistency, limit
distributions and the convergence of moments of these estimators.
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