Convergence in \(p\)-mean for arrays of row-wise extended negatively dependent random variables

DOI10.1007/S10474-016-0645-7zbMath1399.60067OpenAlexW2514067840MaRDI QIDQ1701371

João Lita da Silva

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0645-7

zbMATH Keywords

Rosenthal inequalityconvergence in \(p\)-meanextended negatively dependent arrayrow-wise

Mathematics Subject Classification ID

(L^p)-limit theorems (60F25)

Related Items (8)

Complete convergence and complete moment convergence for maximal weighted sums of arrays of rowwise extended negatively dependent random variables with statistical applications ⋮ Complete and complete \(f\)-moment convergence for arrays of rowwise END random variables and some applications ⋮ Some comments on Chen Xu, Mengmei Xi, Xuejun Wang and Hao Xia's paper “L^r convergence for weighted sums of extended negatively dependent random variables” ⋮ Convergence in \(p\)-mean for arrays of random variables ⋮ Strong laws of large numbers for arrays of row-wise extended negatively dependent random variables with applications ⋮ On the convergence of series of moments for row sums of random variables ⋮ Complete moment convergence for randomly weighted sums of arrays of rowwise \(m_n\)-extended negatively dependent random variables and its applications ⋮ ℒ_p-convergence for weighted sums of arrays of rowwise extended negatively dependent random variables

Cites Work

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• Almost sure convergence for weighted sums of extended negatively dependent random variables
• Probability inequalities for END sequence and their applications
• Limiting behavior for arrays of row-wise upper extended negatively dependent random variables
• Complete moment convergence and mean convergence for arrays of rowwise extended negatively dependent random variables
• Mean convergence theorems for weighted sums of arrays of residually \(h\)-integrable random variables concerning the weights under dependence assumptions
• The weak law of large numbers for arrays
• Complete convergence for arrays
• A mean convergence theorem and weak law for arrays of random elements in martingale type \(p\) Banach spaces
• Convergence in \(r\)-mean of weighted sums of NQD random variables
• Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
• Uniform asymptotics for the finite-time ruin probabilities of two kinds of nonstandard bidimensional risk models
• The Strong Law of Large Numbers for Extended Negatively Dependent Random Variables
• CONVERGENCE PROPERTIES OF THE PARTIAL SUMS FOR SEQUENCES OF END RANDOM VARIABLES
• Some Concepts of Dependence
• On Convergence in $r$-Mean of Normalized Partial Sums

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