Results 31 to 40 of about 1,753,804 (330)
The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application
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
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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Sums of Weighted Differentiation Composition Operators [PDF]
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]
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
doaj
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
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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Iterated Binomial Sums and their Associated Iterated Integrals [PDF]
We consider finite iterated generalized harmonic sums weighted by the binomial $\binom{2k}{k}$ in numerators and denominators. A large class of these functions emerges in the calculation of massive Feynman diagrams with local operator insertions starting
't Hooft G. +20 more
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On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables
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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Indefinite theta functions for counting attractor backgrounds [PDF]
In this note, we employ indefinite theta functions to regularize canonical partition functions for single-center dyonic BPS black holes. These partition functions count dyonic degeneracies in the Hilbert space of four-dimensional toroidally compactified ...
Cardoso, Gabriel Lopes +2 more
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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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