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Laws of Large Numbers and Consistency of Statistical Estimators in Arbitrary Spaces

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REFERENCES

  1. A. I. Orlov, “Statistics of objects of nonnumerical nature, ” Zavod. Lab., 56, No. 3, 76–83 (1990).

    Google Scholar 

  2. A. I. Orlov, “Objects of nonnumerical nature, ” Zavod. Lab., 61, No. 3, 43–52 (1995).

    Google Scholar 

  3. A. I. Orlov, “Probabilistic models of special kinds of objects of a nonnumerical nature, ” Zavod. Lab., 61, No. 5, 43–51 (1995).

    Google Scholar 

  4. A. I. Orlov, Stability in Mathematical Models in the Social Sciences [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  5. A. I. Orlov, “Statistics of objects of a nonnumerical nature, ” Teor. Veroyatn. Primen., 25, 655–656 (1980).

    Google Scholar 

  6. A. I. Orlov, “Asymptotic behavior of solutions of extremal statistical problems, ” in: Treatment of Nonnumerical Data in System Analysis [in Russian], No. 10, VNIISI, Moscow (1982), pp. 4–12.

    Google Scholar 

  7. Yu. V. Prokhorov and Yu. V. Rozanov, Probability Theory, Basic Concepts, Limit Theorems, and Random Processes, Springer, New York (1969).

    Google Scholar 

  8. J. L. Kelley, General Topology, Van Nostrand-Reinhold, New York (1955).

    Google Scholar 

  9. J. G. Kemeny and J. L. Snell, Mathematical Models in the Social Sciences, Ginn, Boston (1962).

    Google Scholar 

  10. G. V. Raushenbakh, “Closeness and similarity measures, ” in: Treatment of Nonnumerical Information in the Social Sciences [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  11. A. I. Orlov, V. G. Gorskii, V. N. Zhikharev, V. A. Tsupin, A. N. Stepochkin, and V. A. Vasyukevich, “Expert opinions: modern state-of-the-art and perspectives of their application to problems of ecological insurance, ” in: Abstracts of the Second Russian Conference on Theory and Practice of Ecological Insurance [in Russian], Market Problem Inst. RAS, Moscow (1996), pp. 20–23.

    Google Scholar 

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Zhikharev, V.N., Orlov, A.I. Laws of Large Numbers and Consistency of Statistical Estimators in Arbitrary Spaces. Journal of Mathematical Sciences 103, 568–577 (2001). https://doi.org/10.1023/A:1009502128796

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