Convergence properties of the maximum partial sums for moving average process under ρ− $\rho^{-}$-mixing assumption

Convergence properties of the maximum partial sums for moving average process under ρ− $\rho^{-}$-mixing assumption

Abstract In this paper, we assume that the sequence {Yn,−∞<n<+∞} $\{Y_{n},-\infty< n<+\infty\}$ is a ρ− $\rho^{-}$-mixing random variables which are stochastically dominated by a random variable Y. Moreover, a real number sequence {an,−∞<n<+∞} $\{a_{n},-\infty< n<+\infty\}$ i...

Full description

Bibliographic Details
Main Authors: Mingzhu Song, Quanxin Zhu
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of Inequalities and Applications
Subjects:
Moving average process
ρ − $\rho^{-}$ -mixing sequence
Complete convergence
Maximum partial sums
Complete γ-order moment convergence
Online Access:http://link.springer.com/article/10.1186/s13660-019-2038-2

Internet

http://link.springer.com/article/10.1186/s13660-019-2038-2

Similar Items