Ukrainian Mathematical Journal

, Volume 50, Issue 9, pp 1454–1460 | Cite as

On the problem of renewal of a Poisson field on a plane

  • A. V. Zolota
  • A. Yu. Shevlyakov
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Abstract

We perform the renewal of a Poisson field at a point on the basis of its values generated by a monotonically increasing curve. We obtain the best mean-square estimate and its error.

Keywords

Positive Integer Characteristic Function Random Process Poisson Process Mathematical Statistics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. 1.
    A. M. Kagan, Yu. V. Linnik, and K. R. Rao, Characterization Problems in Mathematical Statistics [in Russian], Nauka, Moscow (1971).Google Scholar
  2. 2.
    R. Sh. Liptser and A. N. Shiryaev, Statistics of Random Processes [in Russian], Nauka, Moscow (1974).Google Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • A. V. Zolota
    • 1
  • A. Yu. Shevlyakov
    • 1
  1. 1.Donetsk UniversityDonetsk

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