Title: On Estimation of the Intensity Density Function of a Poisson Random Field Outside the Observation Region.
Authors: Ibragimov, I.
Abstract: A Poisson random field with intensity density function $$ \frac{\leftthreetimes (x)}{\varepsilon } $$ is observed in a bounded region G ⊆ ℝ. It is supposed that the unknown function ⋋ belongs to a known class of entire functions. The parameter ε is supposed to be known. The problem is to estimate the value ⋋(x) at the points x /∉ G. An asymptotic setup of the problem as ε → 0 is considered. Bibliography: 13 titles.
Subjects: DENSITY functional theory; ESTIMATION theory; POISSON'S ratio; DENSITY functionals; RANDOM fields
Publication: Journal of Mathematical Sciences, 2016, Vol 214, Issue 4, p484
ISSN: 1072-3374
Publication type: Academic Journal
DOI: 10.1007/s10958-016-2792-3

On Estimation of the Intensity Density Function of a Poisson Random Field Outside the Observation Region.

Ibragimov, I.