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Mathematical Communications, Vol. 30 No. 2, 2025.

Original scientific paper

https://doi.org/10.64785/mc.30.2.7

Moderate deviation principles for the weighted sums of random variables with a special form

Qian Du ; School of Mathematics and Statistics, Henan Normal University, Henan Province, China
Yu Miao ; School of Mathematics and Statistics, Henan Normal University, Henan Province, China *

* Corresponding author.

Full text: english pdf 347 Kb

page 231-241

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Abstract

In the present paper, we consider the weighted sums of sums of independent and identically distributed random variables and study their moderate deviation principles, which can be applied to study the asymptotic behavior of time series and branching processes. These results can be seen as the complements of the results in Imomov and Nazarov [6].

Keywords

weighted sums; independent and identically distributed random variables; moderate deviation principles

Hrčak ID:

335674

URI

https://hrcak.srce.hr/335674

Publication date:

22.9.2025.

Visits: 428 *