Almost sure central limit theorem for self-normalized products of the some partial sums of ρ− $\rho^{-}$-mixing sequences

Almost sure central limit theorem for self-normalized products of the some partial sums of ρ− $\rho^{-}$-mixing sequences

Abstract Let {X,Xn}n∈N $\{X, X_{n}\}_{n\in N}$ be a strictly stationary ρ− $\rho^{-}$-mixing sequence of positive random variables, under the suitable conditions, we get the almost sure central limit theorem for the products of the some partial sums (∏i=1kSk,i(k−1)nμn)μβVk $({\frac{\prod_{i=1}^{k}S_...

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Bibliographic Details
Main Authors: Xili Tan, Wei Liu
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Journal of Inequalities and Applications
Subjects:
Almost sure central limit theorem
ρ − $\rho^{-}$ -Mixing sequence
Self-normalized
Products of the some partial sums
Online Access:http://link.springer.com/article/10.1186/s13660-018-1835-3

Internet

http://link.springer.com/article/10.1186/s13660-018-1835-3

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