TY  - SER
AU  - Chernoyarov,Oleg V.
AU  - Kutoyants,Yury A.
TI  - Poisson source localization on the plane: the smooth case
KW  - неоднородный пуассоновский процесс
KW  - оценка максимального правдоподобия
KW  - байесовские оценки
KW  - локализация источников
KW  - статьи в журналах
N1  - Библиогр.: c. 435
N2  - We consider the problem of localization of a Poisson source using observations of
inhomogeneous Poisson processes. We assume that k detectors are distributed on the
 plane and each detector generates observations of the Poisson processes, whose intensity
 functions depend on the position of the source. We study asymptotic properties
 of the maximum likelihood and Bayesian estimators of the source position on the
 plane assuming that the amplitude of the intensity functions are large. We show that
 under regularity conditions these estimators are consistent, asymptotically normal and
 asymptotically efficient in the minimax mean-square sense. Then we propose some
 simple consistent estimators and these estimators are further used to construct asymptotically
 efficient One-step MLE-process
UR  - http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000794336
ER  -