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Estimators of the unknown mean of a homogeneous and isotropic random field

  • Applied Topics in Control Theory, Mathematical Cybernetics, and Statistics
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Abstract

Least-squares estimators and minimum-variance linear unbiased estimators of the unknown mean are studied for homogeneous and isotropic random fields observed on sets of a special kind (a system of concentric circles, a ring).

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References

  1. H. Bateman and A. Erdelyi, Higher Transcendental Functions [Russian translation], Vol. 2, Moscow (1966).

  2. U. Grenander, Stochastic Processes and Statistical Inference [Russian translation], Moscow (1961).

  3. A. K. Jain, “Advances in mathematical models for image processing,” Proc. IEEE,69, No. 5 (1981).

  4. M. I. Yadrenko, Spectral Theory of Random Fields [in Russian], Kiev (1980).

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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 73, pp. 71–78, 1992.

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Bektashov, S., Yadrenko, M.I. Estimators of the unknown mean of a homogeneous and isotropic random field. J Math Sci 71, 2682–2688 (1994). https://doi.org/10.1007/BF02114046

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  • DOI: https://doi.org/10.1007/BF02114046

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