Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 27, Tome 474 (2018), pp. 139-148
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I. A. Ibragimov. An estimation problem for the intensity density of Poisson processes. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 27, Tome 474 (2018), pp. 139-148. http://geodesic.mathdoc.fr/item/ZNSL_2018_474_a9/
@article{ZNSL_2018_474_a9,
author = {I. A. Ibragimov},
title = {An estimation problem for the intensity density of {Poisson} processes},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {139--148},
year = {2018},
volume = {474},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_474_a9/}
}
TY - JOUR
AU - I. A. Ibragimov
TI - An estimation problem for the intensity density of Poisson processes
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2018
SP - 139
EP - 148
VL - 474
UR - http://geodesic.mathdoc.fr/item/ZNSL_2018_474_a9/
LA - ru
ID - ZNSL_2018_474_a9
ER -
%0 Journal Article
%A I. A. Ibragimov
%T An estimation problem for the intensity density of Poisson processes
%J Zapiski Nauchnykh Seminarov POMI
%D 2018
%P 139-148
%V 474
%U http://geodesic.mathdoc.fr/item/ZNSL_2018_474_a9/
%G ru
%F ZNSL_2018_474_a9
A Poisson process $X_\varepsilon(t)$ with the intensity density function $\varepsilon^{-1}\lambda(t)$ is observed on an interval $[a,b]$. The problem is to estimate the function $\lambda(t)$. It is known that the unknown function $\lambda(t)$ belongs to a given class of functions analytic in a given region $G\supset[a,b]$ and is bounded there by a given constant $M$. The parameter $\varepsilon$ is supposed to be known and we consider the problem as $\varepsilon\to0$.