Results 21 to 30 of about 19,297 (267)

Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables

open access: yesJournal 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
doaj   +1 more source

On weighted zero-sum sequences

open access: yesAdvances in Applied Mathematics, 2012
24 pages. Accepted version for publication in Adv.
Sukumar Das Adhikari   +2 more
openaire   +2 more sources

On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables

open access: yesAbstract 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
doaj   +1 more source

Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables

open access: yesAbstract 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
doaj   +1 more source

Homogeneous weights and exponential sums

open access: yesFinite 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.
openaire   +2 more sources

On Complete Moment Convergence of Weighted Sums for Arrays of Rowwise Negatively Associated Random Variables

open access: yesJournal 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
doaj   +1 more source

Ratio, sum, or weighted sum

open access: yes, 2022
Eco-efficiency is generally defined as the ratio of an economic and an environmental variable. This interpretation is also cited in connection to its most popular implementation, known as the "BASF eco-efficiency portfolio analysis". There is, however, something strange about this.
Heijungs, R.
openaire   +1 more source

Asymptotics for Weighted Random Sums [PDF]

open access: yesAdvances 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.
openaire   +4 more sources

Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables

open access: yesInternational 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
doaj   +1 more source

On closeness of two discrete weighted sums

open access: yesModern 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
doaj   +1 more source

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