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

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A Poisson random field with intensity density function \( \frac{\leftthreetimes (x)}{\varepsilon } \) is observed in a bounded region G ⊆ ℝ d. 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.

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  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University, St.Petersburg, Russia

    I. A. Ibragimov

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  1. I. A. Ibragimov
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Correspondence to I. A. Ibragimov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 431, 2014, pp. 97–109.

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Ibragimov, I.A. On Estimation of the Intensity Density Function of a Poisson Random Field Outside the Observation Region. J Math Sci 214, 484–492 (2016). https://doi.org/10.1007/s10958-016-2792-3

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  • DOI: https://doi.org/10.1007/s10958-016-2792-3

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