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References (18)
-
Shixin Gan (1997)
The Hàjek-Rènyi inequality for Banach space valued martingales and the p smoothness of Banach spacesStatistics & Probability Letters, 32
-
J. Marcinkiewicz (1938)
Sur les fonctions indépendantesFundamenta Mathematicae, 30
-
I. Ibragimov (1962)
Some Limit Theorems for Stationary ProcessesTheory of Probability and Its Applications, 7
-
Q. Shao (1988)
A moment inequality and its applicationsActa Mathematica Sinica, 31
-
Jingjun Liu, Shixin Gan, Pingyan Chen (1999)
The Hájek-Rényi inequality for the NA random variables and its application: [Statist. Probab. Lett. 43 (1999) 99-105]Statistics & Probability Letters, 44
-
Jingjun Liu, Shixin Gan, Pingyan Chen (1999)
The Hájeck-Rényi inequality for the NA random variables and its applicationStatistics & Probability Letters, 43
-
Deli Li, M. Huang (1998)
A note on moments of the maximum of Cesàro summationStatistics & Probability Letters, 38
-
A. Gut (1979)
On the integrability of sup |S n/n| for subsequencesAnn. Probab., 7
-
J. Baek, Tae-sung Kim, Han-Ying Liang (2003)
On the convergence of moving average processes under dependent conditionsAustralian & New Zealand Journal of Statistics, 45
-
Cheng Ping-yan (2004)
The Law of the Iterated Logarithm for Independent Random Variables with Multidimensional Parameters and Its ApplicationJournal of Mathematical Research and Exposition
-
A. Gut (1979)
On the Integrability of $\sup|S_n/n|$ for SubsequencesAnnals of Probability, 7
-
D. Siegmund (1969)
On Moments of the Maximum of Normed Partial SumsAnnals of Mathematical Statistics, 40
-
Pingyan Chen, Shixin Gan (2008)
On moments of the maximum of normed partial sums of ρ -mixing random variables ☆Statistics & Probability Letters, 78
-
Li Yun-xia, Zhang Lixin (1996)
Complete moment convergence of moving-average processes under dependence assumptionsStatistics & Probability Letters, 70
-
Deli Li, M. Rao, X. Wang (1992)
Complete convergence of moving average processesStatistics & Probability Letters, 14
-
Wang Zhi-jiang (2002)
Complete Convergence of Moving Average Processes under Negative Dependence Assumptions -
Pingyan Chen, T. Hu, Andrei Volodin (2009)
Limiting behaviour of moving average processes under φ-mixing assumptionStatistics & Probability Letters, 79
-
R. Burton, H. Dehling (1990)
Large deviations for some weakly dependent random processesStatistics & Probability Letters, 9
- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Applications of Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-011-0114-6
- Publisher site
- See Article on Publisher Site
Abstract
Let {Y i ;−∞ < i < ∞} be a doubly infinite sequence of identically distributed φ-mixing random variables and let {a i ;−∞ < i < ∞} be an absolutely summable sequence of real numbers. In this paper we study the moments of $\mathop {\sup }\limits_{n \geqslant 1} \left| {\sum\limits_{k = 1 - \infty }^n {\sum\limits_{}^\infty {a_i Y_{i + k} /n^{1/r} } } } \right|^p (1 \leqslant r < 2,p > 0)$ under the conditions of some moments.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Sep 9, 2011