Results 21 to 30 of about 18,643 (267)
Journal of Inequalities and Applications, 2018 In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution.
Haiwu Huang, Qingxia Zhang, Xiongtao Wu
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Homogeneous weights and exponential sums
Finite Fields and Their Applications, 2003 Let \({\mathbb F}_{q}\) be a finite field of characteristic \(p\) with \(q=p^{ \mu}\) elements, and \(W_{l}({\mathbb F}_{q})\) the ring of Witt vectors of length \(l\) over \({\mathbb F}_{q}\). The ring \(W_{l}({\mathbb F}_{q})\) is a finite local ring with \(q^{l}\) elements. The maximal ideal of \(W_{l}({\mathbb F}_{q})\) is generated by \(p\), and \(
Voloch, José Felipe, Walker, Judy L.
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On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables
Abstract and Applied Analysis, 2013 We prove the strong law of large numbers for weighted sums ∑i=1naniXi, which generalizes and improves the corresponding one for independent and identically distributed random variables and φ-mixing random variables.
Aiting Shen, Xinghui Wang, Huayan Zhu
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Filomat, 2017 In this paper, a new weighting sum method for multi-criteria decision making is presented. The main advantage of this method is that it is easier for understanding and it can effectively be handled by a decision maker, so the obtained solution best suits his goal and his understanding of the problem.
Boza Miljkovic +3 more
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Abstract and Applied Analysis, 2012 The complete convergence for weighted sums of sequences of negatively dependent random variables is investigated. By applying moment inequality and truncation methods, the equivalent conditions of complete convergence for weighted sums of sequences of ...
Mingle Guo
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Tail Behavior of Randomly Weighted Sums [PDF]
Advances in Applied Probability, 2012 Let {Xt, t ≥ 1} be a sequence of identically distributed and pairwise asymptotically independent random variables with regularly varying tails, and let {Θt, t ≥ 1} be a sequence of positive random variables independent of the sequence {Xt, t ≥ 1}. We will discuss the tail probabilities and almost-sure convergence of X(∞) = ∑t=1∞ΘtXt+ (where X+ = max{0,
Hazra, Rajat Subhra, Maulik, Krishanu
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Periodic Weighted Sums of Binomial Coefficients
, 2022 Currently under review.
Dresden, Greg, Li, Yike
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Journal of Probability and Statistics, 2012 The complete moment convergence of weighted sums for arrays of rowwise negatively associated random variables is investigated. Some sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise negatively associated random ...
Mingle Guo, Dongjin Zhu
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Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables
International Journal of Mathematics and Mathematical Sciences, 2012 The complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of ...
Ming Le Guo
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On closeness of two discrete weighted sums
Modern Stochastics: Theory and Applications, 2018 The effect that weighted summands have on each other in approximations of $S={w_{1}}{S_{1}}+{w_{2}}{S_{2}}+\cdots +{w_{N}}{S_{N}}$ is investigated. Here, ${S_{i}}$’s are sums of integer-valued random variables, and ${w_{i}}$ denote weights, $i=1,\dots ,N$
Vydas Čekanavičius +1 more
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