Abstract
Explicit formulas of minimum-variance linear unbiased estimators of the unknown mean are derived for homogeneous random fields with correlation functions
observed on the set
(a “cross”).
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References
U. Grenander, Stochastic Processes and Statistical Inference [Russian translation], IL, Moscow (1961).
K. V. Konyaev, Spectral Analysis of Stochastic Processes and Random Fields [in Russian], Nauka, Moscow (1973).
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 64, pp. 116–121, 1988.
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Bektashov, S., Hau, D.D. & Yadrenko, M.I. Optimal linear estimators of the unknown mean of a random field observed on a cross. J Math Sci 66, 2331–2335 (1993). https://doi.org/10.1007/BF01229606
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DOI: https://doi.org/10.1007/BF01229606