Results 11 to 20 of about 18,643 (267)
Arithmetic-progression-weighted subsequence sums [PDF]
Israel Journal of Mathematics, 2012 Let $G$ be an abelian group, let $S$ be a sequence of terms $s_1,s_2,...,s_{n}\in G$ not all contained in a coset of a proper subgroup of $G$, and let $W$ be a sequence of $n$ consecutive integers. Let $$W\odot S=\{w_1s_1+...+w_ns_n:\;w_i {a term of} W,\, w_i\neq w_j{for} i\neq j\},$$ which is a particular kind of weighted restricted sumset.
Grynkiewicz, David J. +2 more
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On the convergence of Baum-Katz series for sums of linear 2-nd order autoregressive sequences
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022 We consider complete convergence and closely related Hsu-Robbins-Erdos-Spitzer-Baum-Katz series for sums whose terms are elements of a linear 2-nd order autoregressive sequences of random variables and prove sufficient conditions for the convergence of ...
М. К. Ільєнко +1 more
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Graph theoretical representation of atomic asymmetry and molecular chirality of benzenoids in two-dimensional space. [PDF]
PLoS ONE, 2014 In order to explore atomic asymmetry and molecular chirality in 2D space, benzenoids composed of 3 to 11 hexagons in 2D space were enumerated in our laboratory.
Tanfeng Zhao +3 more
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Complete Convergence for END Random Variables under Sublinear Expectations
Discrete Dynamics in Nature and Society, 2021 In this paper, the complete convergence theorems of partial sums and weighted sums for extended negatively dependent random variables in sublinear expectation spaces have been studied and established.
Qunying Wu
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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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The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application
Abstract and Applied Analysis, 2014 We investigate the complete moment convergence of double-indexed weighted sums of martingale differences. Then it is easy to obtain the Marcinkiewicz-Zygmund-type strong law of large numbers of double-indexed weighted sums of martingale differences ...
Wenzhi Yang +3 more
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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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Asymptotics for Weighted Random Sums [PDF]
Advances in Applied Probability, 2012 Let {Xi} be a sequence of independent, identically distributed random variables with an intermediate regularly varying right tail F̄. Let (N, C1, C2,…) be a nonnegative random vector independent of the {Xi} with N∈ℕ∪ {∞}. We study the weighted random sum SN=∑{i=1}NCiXi, and its maximum, MN=sup{1≤kN+1∑i=1kCiXi.
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Sums of Weighted Differentiation Composition Operators [PDF]
Complex Analysis and Operator Theory, 2019 We solve an interpolation problem in $A^p_ $ involving specifying a set of (possibly not distinct) $n$ points, where the $k^{\textrm{th}}$ derivative at the $k^{\textrm{th}}$ point is up to a constant as large as possible for functions of unit norm. The solution obtained has norm bounded by a constant independent of the points chosen.
Soumyadip Acharyya, Timothy Ferguson
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Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables [PDF]
Journal of Sciences, Islamic Republic of Iran, 2007 Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for ...
M. Amini
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