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- 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