Poisson source localization on the plane: the smooth case
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 sour...
| Published in: | Metrika Vol. 83, № 4. P. 411-435 |
|---|---|
| Main Author: | |
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000794336 Перейти в каталог НБ ТГУ |
| LEADER | 02247nab a2200349 c 4500 | ||
|---|---|---|---|
| 001 | vtls000794336 | ||
| 003 | RU-ToGU | ||
| 005 | 20230319222127.0 | ||
| 007 | cr | | ||
| 008 | 210226|2020 gw s a eng d | ||
| 024 | 7 | |a 10.1007/s00184-019-00738-1 |2 doi | |
| 035 | |a to000794336 | ||
| 039 | 9 | |a 202103011921 |c 202102261036 |d VLOAD |y 202102261021 |z Александр Эльверович Гилязов | |
| 040 | |a RU-ToGU |b rus |c RU-ToGU | ||
| 100 | 1 | |a Chernoyarov, Oleg V. |9 167444 | |
| 245 | 1 | 0 | |a Poisson source localization on the plane: the smooth case |c O. V. Chernoyarov, Yu. A. Kutoyants |
| 336 | |a Текст | ||
| 337 | |a электронный | ||
| 504 | |a Библиогр.: c. 435 | ||
| 520 | 3 | |a 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. | |
| 653 | |a неоднородный пуассоновский процесс | ||
| 653 | |a оценка максимального правдоподобия | ||
| 653 | |a байесовские оценки | ||
| 653 | |a локализация источников | ||
| 655 | 4 | |a статьи в журналах |9 879358 | |
| 700 | 1 | |a Kutoyants, Yury A. |9 424456 | |
| 773 | 0 | |t Metrika |d 2020 |g Vol. 83, № 4. P. 411-435 |x 0026-1335 | |
| 852 | 4 | |a RU-ToGU | |
| 856 | 4 | |u http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000794336 | |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=478765 | ||
| 908 | |a статья | ||
| 999 | |c 478765 |d 478765 | ||