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Estimates of unknown mean of homogeneous random fields

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Literature Cited

  1. U. Grenander, “Stochastic processes and statistical inference,” Arkiv för Matematik, 1 (1950).

  2. U. Grenander, “On empirical spectral analysis of stochastic processes,” Arkiv för Matematik, 1, No. 6 (1952).

  3. A. M. Yaglom, “Spectral representations for various classes of random functions,” in: Proc. of the Fourth All-Union Mathematical Congress, Publications of the Academy of Sciences of the USSR [in Russian], Vol. 1, Leningrad (1963).

  4. E. Hille and R. Phillips, Functional Analysis and Semigroups, American Mathematical Society, Providence, Rhode Island (1957).

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  5. A. A. Tempel'man, “Ergodic theorems for homogeneous generalized random fields and homogeneous random fields on groups,” Litov. Matem. Sb.,2, No. 1 (1962).

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  6. A. I. Ponomarenko, “On the mean value of a positive-definite operator function on a group,” in: Teoriya Veroyatnostei i Matematicheskaya Statistika, No. 1, (1970).

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Authors
  1. A. I. Ponomarenko
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Additional information

Translated from Kibernetika, No. 1, pp. 79–83, January–February, 1974.

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Ponomarenko, A.I. Estimates of unknown mean of homogeneous random fields. Cybern Syst Anal 10, 95–100 (1974). https://doi.org/10.1007/BF01069023

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  • DOI: https://doi.org/10.1007/BF01069023

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