Results 41 to 50 of about 1,018 (114)
The law of the iterated logarithm for exchangeable random variables
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 391-396, 1995., 1993 In this note, necessary and sufficient conditions for laws of the iterated logarithm are developed for exchangeable random variables.
Hu-Ming Zhang, Robert L. Taylor
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Strong laws for weighted sums of widely orthant dependent random variables and applications
Open MathematicsIn this study, the strong law of large numbers and the convergence rate for weighted sums of non-identically distributed widely orthant dependent random variables are established.
Zhu Yong, Wang Wei, Chen Kan
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On complete convergence in a Banach space
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 1-14, 1994., 1993 Sufficient conditions are given under which a sequence of independent random elements taking values in a Banach space satisfy the Hsu and Robbins law of large numbers. The complete convergence of random indexed sums of random elements is also considered.
Anna Kuczmaszewska, Dominik Szynal
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On Feller′s criterion for the law of the iterated logarithm
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 323-340, 1994., 1993 Combining Feller′s criterion with a non‐uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985) and Egorov (1971). In addition, these results are compared with
Deli Li, M. Bhaskara Rao, Xiangchen Wang
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A note on the complete convergence for sequences of pairwise NQD random variables
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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Open MathematicsIn this article, the complete convergence and the Kolmogorov strong law of large numbers for weighted sums of (α,β)\left(\alpha ,\beta )-mixing random variables are presented.
Hu Wenjing, Wang Wei, Wu Yi
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The CLT Analogue for Cyclic Urns
, 2015 A cyclic urn is an urn model for balls of types $0,\ldots,m-1$ where in each draw the ball drawn, say of type $j$, is returned to the urn together with a new ball of type $j+1 \mod m$. The case $m=2$ is the well-known Friedman urn. The composition vector,
Müller, Noela S., Neininger, Ralph
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Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables
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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A note on the complete convergence for arrays of dependent random variables
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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Small values and functional laws of the iterated logarithm for operator fractional Brownian motion
Open MathematicsThe multivariate Gaussian random fields with matrix-based scaling laws are widely used for inference in statistics and many applied areas. In such contexts, interests are often Hölder regularities of spatial surfaces in any given direction.
Wang Wensheng, Dong Jingshuang
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