Results 11 to 20 of about 137 (132)
A note on the complete convergence for sequences of pairwise NQD random variables [PDF]
Journal of Inequalities and Applications, 2011 In this paper, complete convergence and strong law of large numbers for sequences of pairwise negatively quadrant dependent (NQD) random variables with non-identically distributed are investigated.
Wu Qunying +3 more
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A note on the complete convergence for arrays of dependent random variables [PDF]
Journal of Inequalities and Applications, 2011 A complete convergence result for an array of rowwise independent mean zero random variables was established by Kruglov et al. (2006). This result was partially extended to negatively associated and negatively dependent mean zero random variables by Chen
Sung Soo Hak
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Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables [PDF]
Journal of Inequalities and Applications, 2011 In this article, the strong limit theorems for arrays of rowwise negatively orthant-dependent random variables are studied. Some sufficient conditions for strong law of large numbers for an array of rowwise negatively orthant-dependent random variables ...
Shen Aiting
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On the exponential inequality for acceptable random variables [PDF]
Journal of Inequalities and Applications, 2011 In this paper, we obtain some new exponential inequalities for partial sums and their finite maximum of acceptable random variables by the results of Sung et al. (J. Korean Stat. Soc., 40, 109-114, 2011) and in different ways from theirs.
Gao Qingwu, Wang Yuebao, Li Yawei
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Mean square exponential and non-exponential asymptotic stability of impulsive stochastic Volterra equations [PDF]
Journal of Inequalities and Applications, 2011 In this article, some inequalities on convolution equations are presented firstly. The mean square stability of the zero solution of the impulsive stochastic Volterra equation is studied by using obtained inequalities on Liapunov function, including mean
Zhao Dianli, Han Dong
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Complete f-moment convergence for negatively superadditive dependent random variables [PDF]
, 2023 Mathematics subject classification (2020): 60F15.Copyright © the author(s). In this paper, by utilizing the Kolmogorov exponential type inequality of negatively superadditive dependent random arrays and truncated method, we study the complete f -moment ...
Xuep ng Hu +5 more
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Complete convergence of weighted sums under negative dependence [PDF]
, 2011 Negatively dependent, Complete convergence, Weighted sums, 60F15,
H. Zarei, H. Jabbari
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A survey of limit laws for bootstrapped sums
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 45, Page 2835-2861, 2003., 2003 Concentrating mainly on independent and identically distributed (i.i.d.) real‐valued parent sequences, we give an overview of first‐order limit theorems available for bootstrapped sample sums for Efron′s bootstrap. As a light unifying theme, we expose by elementary means the relationship between corresponding conditional and unconditional bootstrap ...
Sándor Csörgő, Andrew Rosalsky
wiley +1 more source
Complete convergence for negatively dependent random variables
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 121-126, 2003., 2003 In this paper, we study the complete convergence for the means 1n∑i=1nXi and 1nα∑k=1nXnk via. exponential bounds, where α > 0 and {Xn, n ≥ 1} is a sequence of negatively dependent random variables and {Xnk, 1 ≤ k ≤ n, n ≥ 1} is an array of rowwise pairwise negatively dependent random variables.
M. Amini D., A. Bozorgnia
wiley +1 more source
Almost sure central limit theorems for strongly mixing and associated random variables
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 125-131, 2002., 2002 We prove an almost sure central limit theorem (ASCLT) for strongly mixing sequence of random variables with a slightly slow mixing rate α(n) = O((loglogn)−1−δ). We also show that ASCLT holds for an associated sequence of random variables without a stationarity assumption.
Khurelbaatar Gonchigdanzan
wiley +1 more source