Results 21 to 30 of about 609,633 (323)
Complete convergence for weighted sums of widely orthant-dependent random variables
Journal of Inequalities and Applications, 2021 The complete convergence results for weighted sums of widely orthant-dependent random variables are obtained. A strong law of large numbers for weighted sums of widely orthant-dependent random variables is also obtained. Our results extend and generalize
Pingyan Chen, Soo Hak Sung
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Mod-Gaussian convergence and its applications for models of statistical mechanics [PDF]
, 2014 In this paper we complete our understanding of the role played by the limiting (or residue) function in the context of mod-Gaussian convergence. The question about the probabilistic interpretation of such functions was initially raised by Marc Yor. After
C.-G. Esseen +13 more
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Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
Journal of Inequalities and Applications, 2016 In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables.
Haiwu Huang +3 more
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Probabilistic norms and statistical convergence of random variables [PDF]
Surveys in Mathematics and its Applications, 2009 The paper extends certain stochastic convergence of sequences of Rk -valued random variables (namely, the convergence in probability, in Lp and almost surely) to the context of E-valued random variables.
Mohamad Rafi Segi Rahmat +1 more
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Convergence of Weighted Linear Process for ρ-Mixing Random Variables
Discrete Dynamics in Nature and Society, 2007 A central limit theorem and a functional central limit theorem are obtained for weighted linear process of ρ-mixing sequences for the Xt=∑i=0∞aiYt−i, where {Yi, 0 ...
Guang-Hui Cai
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CONVERGENCE OF WEIGHTED SUMS FOR DEPENDENT RANDOM VARIABLES [PDF]
Journal of the Korean Mathematical Society, 2004 Summary: We discuss the strong convergence for weighted sums of negatively associated (in abbreviation: NA) arrays. Meanwhile, the central limit theorem for weighted sums of NA variables and linear process based on NA variables is also considered. As corollary, we get the results on i.i.d. of \textit{D. Li}, \textit{M. B. Rao}, \textit{T.
Liang, Han-Ying +2 more
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AIMS Mathematics, 2023 In this article, we study the complete convergence and the complete moment convergence for negatively dependent (ND) random variables under sub-linear expectations.
Mingzhou Xu, Xuhang Kong
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A note on convergence of weighted sums of random variables
International Journal of Mathematics and Mathematical Sciences, 1985 Under uniform integrability condition, some Weak Laws of large numbers are established for weighted sums of random variables generalizing results of Rohatgi, Pruitt and Khintchine.
Xiang Chen Wang, M. Bhaskara Rao
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Homogenization of a singular random one dimensional parabolic PDE with time varying coefficients [PDF]
, 2009 The paper studies homogenization problem for a non-autonomous parabolic equation with a large random rapidly oscillating potential in the case of one dimensional spatial variable.
Pardoux, E., Piatnitski, A.
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Complete Convergence for Maximal Sums of Negatively Associated Random Variables
Journal of Probability and Statistics, 2010 Necessary and sufficient conditions are given for the complete convergence of maximal sums of identically distributed negatively associated random variables. The conditions are expressed in terms of integrability of random variables.
Victor M. Kruglov
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