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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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