Email this article On Estimation of the Intensity Density Function of a Poisson Random Field Outside the Observation Region
- Authors: Ibragimov I.A.1
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Affiliations:
- St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University
- Issue: Vol 214, No 4 (2016)
- Pages: 484-492
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237435
- DOI: https://doi.org/10.1007/s10958-016-2792-3
- ID: 237435
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Abstract
A Poisson random field with intensity density function \( \frac{\leftthreetimes (x)}{\varepsilon } \) is observed in a bounded region G ⊆ ℝd. 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.
About the authors
I. A. Ibragimov
St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University
Author for correspondence.
Email: ibr32@pdmi.ras.ru
Russian Federation, St.Petersburg
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