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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
-
E. Lehmann (1966)
Some Concepts of DependenceAnnals of Mathematical Statistics, 37
-
J. Hájek, A. Rényi (1955)
Generalization of an inequality of KolmogorovActa Mathematica Academiae Scientiarum Hungarica, 6
-
S. Sung (2008)
A note on the Hajek–Renyi inequality for associated random variablesStatistics & Probability Letters, 78
-
L. Tran, G. Roussas, S. Yakowitz, B. Van (1996)
Fixed-design regression for linear time seriesAnnals of Statistics, 24
-
Shuhe Hu, Xuejun Wang, Wenzhi Yang, Ting Zhao (2009)
The Hàjek–Rènyi-type inequality for associated random variablesStatistics & Probability Letters, 79
-
Gan Shixin, C. Pingyan (2008)
Some Limit Theorems for Sequences of Pairwise NQD Random VariablesActa Mathematica Scientia, 28
-
M. Loève (1951)
On Almost Sure Convergence -
P. Matuła (1992)
A note on the almost sure convergence of sums of negatively dependent random variablesStatistics & Probability Letters, 15
-
Hu Shuhe, Hu Ming (2006)
A general approach rate to the strong law of large numbersStatistics & Probability Letters, 76
-
Shuhe Hu, Guijing Chen, Xuejun Wang (2008)
On extending the Brunk–Prokhorov strong law of large numbers for martingale differences ☆Statistics & Probability Letters, 78
-
B. Rao (2002)
Hajek–Renyi-type inequality for associated sequencesStatistics & Probability Letters, 57
-
B. Hansen (1991)
Strong Laws for Dependent Heterogeneous ProcessesEconometric Theory, 7
-
J.J. Liu, S.X. Gan, P.Y. Chen (1999)
The Hájek-Rényi inequality for NA random variables and its applicationStatist. Probab. Lett., 43
-
Wu Qun (2002)
Convergence Properties of Pairwise NQD Random SequencesActa Mathematica Sinica
-
P. Hall, E. Lukács, Z. Birnbaum, C. Heyde (1980)
Martingale Limit Theory and Its Application -
I. Fazekas, O. Klesov (2001)
A General Approach to the Strong Law of Large NumbersTheory of Probability and Its Applications, 45
-
P. Matula (1992)
A note on the almost sure convergence of sums of negatively dependent random variables. StatistProbab. Lett., 15
- Publisher
- Springer Journals
- Copyright
- Copyright © 2012 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics; Math Applications in Computer Science
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-012-0165-3
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we get the Hájek-Rényi-type inequalities for a pairwise NQD sequence, an L r (r > 1) mixingale and a linear process, which have the concrete coefficients. In addition, we obtain the strong law of large numbers, strong growth rate and the integrability of supremum for the above sequences, which generalize and improve Corollary 2 for L r (r > 1) mixingale of Hansen.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jun 10, 2012