LAW OF LARGE NUMBERS FOR NEGATIVE ORTHOGONAL DEPENDENT RANDOM VARIABLES TAKING VALUES IN GILBERT SPACE

Authors

  • Maqsimova Sarvinoz Valijon kizi Doctoral student of the 1st stage of Andijan State University

Keywords:

Random variables in Hilbert space, negatively orthant dependent random variables, moment inequalities, law of large numbers.

Abstract

In this thesis, a moment inequality for the sum of negatively orthant dependent

random variables taking values in a Hilbert space is applied, and the law of large numbers is

proved. The random variables satisfy the condition of negative orthant dependence

coordinatewise.

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References

Asadian, N, Fakoor, V, Bozorgnia, A: Rosenthal's type inequalities for negatively

orthogonal dependent random variables. J. Iran. Stat. Soc. 5(1-2), 69-75 (2006)

D. Qui, Q. Wu, P. Chen. Complete convergence for negatively correlated dependent

random variables. Journal of inequalities and applications 2014. Fakoor, V. and Azarnoosh, H. A. (2005), Probability inequalities for sums of negatively

dependent random variables. Pak. J. Stat.,21(3), 257–264. Paulo Eduardo Oliveira: Asymptotics for Associated Random Variables (2012)

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Published

2024-12-25

How to Cite

Maqsimova Sarvinoz Valijon kizi. (2024). LAW OF LARGE NUMBERS FOR NEGATIVE ORTHOGONAL DEPENDENT RANDOM VARIABLES TAKING VALUES IN GILBERT SPACE. Journal of Applied Science and Social Science, 14(12), 274–277. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/479

Issue

Vol. 14 No. 12 (2024): Volume 14 Issue 12

Section

Articles

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