The Sharle Statistical Structure

Authors

  • Zurab S. Zerakidze
  • Jemal K. Kiria
  • Tengiz V. Kiria

Keywords:

Consistent criterion, statistical structures.

Abstract

In this paper the consistent criteria for testing Hypothesis for the Sharle statistical structure are defined. It is shown that the necessary and sufficient conditions for the existence of these critical are considered. Also the necessary and sufficient conditions for the existence of such criteria for the Sharle strongly statistical structure.

References

Borovkov A.A. Mathematics statistics. Estimation of parameters. Testing of hypotheses. “Nauka”, Moscow, 1984, English transl. mathematical statistics. Gordon. Breach. Amsterdam 1998.

Kharazishvili A. Topological aspects of measure theory (in Russian) “Naukova Dumka”, Kiev, 1984.

Kharazishvili A. Nonmeasureable Sets and Functions. North-Holland Mathematics Studies. Elsevier, Amsterdam, 2004.

Zerakidze Z. On weakly divisible and divisible families of probability measures (in Russian). Bull. Acad. Sci. Georg. SSR 113(2), 1984, pp. 273-275.

Zerakidze Z. Generalization criteria of Neiman-Pearson. Georgian Technical University. Proceedings of the International Scientifics Conference on ”Information Technologies”, Tbilisi, 2008, pp. 22-24.

Zerakidze Z., Purtokhia O. The weakly consistent, strongly consistent and consistent estimates of the parameters. Reports of Enlarged Sessions of the I. Vekua Institute of Applied Mathematics, 31, 2017, pp. 151-154.

Danko P. Ye., Popov A.G., Kozhevnikova T.Ya., Danko S. P. Vysshaya matematika v uprazhneniyakh i zadachakh, chast' 2. «Mir i obrazovaniye», Moskva, 2009.

Downloads

Published

2021-10-11

How to Cite

Zerakidze, Z. S. ., Kiria, J. K. ., & Kiria, T. V. . (2021). The Sharle Statistical Structure. JOURNAL OF THE GEORGIAN GEOPHYSICAL SOCIETY, 24(1). Retrieved from https://openjournals.ge/index.php/GGS/article/view/2878