Cybernetics and Systems Analysis

, Volume 49, Issue 3, pp 465–471 | Cite as

Asymptotic properties of the method of observed mean for homogeneous random fields

  • D. A. Gololobov
  • E. J. Kasitskaya


The empirical estimate of the unknown parameter of a homogenous (in restricted sense) random field with continuous time and continuous states observed in a circle is considered. The strong consistency of the estimate is proved. The conditions under which the estimates weakly converge to the Gaussian distribution are established.


method of observed mean random field probability function minimization continuity 


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Taras Shevchenko National University of KyivKyivUkraine
  2. 2.V. M. Glushkov Institute of CyberneticsNational Academy of Sciences of UkraineKyivUkraine

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