APPLICATION OF TYPES OF CONVERGENCE OF RANDOM VARIABLES IN STATISTICAL ESTIMATION THEORY

Authors

  • Erkin Tukhtaev Associate Professor, Karshi State University Omonniyozov Quvvat 2nd Year Master's Student in Mathematics of Karshi State University

Keywords:

random variable, convergence, statistical estimation, convergence in probability, convergence in distribution, law of large numbers, central limit theorem.

Abstract

This paper studies various types of convergence of sequences of random variables and their applications in mathematical statistics, particularly in the theory of statistical estimation. The concepts of convergence in probability, mean square convergence, and convergence in distribution are analyzed in relation to the consistency of estimators, the law of large numbers, and the central limit theorem. The practical importance of convergence theory in statistical methods is also discussed.

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References

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A.A.Abdushukurov, T.M.Zuparov. “Ehtimollar nazariyasi va matematik statistika”, Tafakkur bo‘stoni,2015 yil.

S.X. Sirojiddinov, M. Mamatov “Ehtimollar nazariyasi va matematik statistika”, Toshkent, “O‘qituvchi”, 1980 yil.

Севастянов Б.А. «Курс теории вероятностей и математической статистики», Москва, «Наука», 1982 г.

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Published

2026-03-24

How to Cite

Erkin Tukhtaev. (2026). APPLICATION OF TYPES OF CONVERGENCE OF RANDOM VARIABLES IN STATISTICAL ESTIMATION THEORY. Journal of Applied Science and Social Science, 16(03), 755–758. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/3792

Issue

Vol. 16 No. 03 (2026): Journal of Applied Science and Social Science

Section

Articles

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