Work

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

Year: 2025

Type: article

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].

Source: Mathematical communications

DOI: 10.64785/mc.30.2.7

Authors: Qian Du, Yu Miao

Institution: Henan Normal University

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: G3309341234, G422469606