Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability

From MaRDI portal
Publication:1773318

DOI10.1016/j.jmaa.2004.12.025zbMath1065.60022OpenAlexW2101626133MaRDI QIDQ1773318

Manuel Ordóñez Cabrera, Andrei I. Volodin

Publication date: 28 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.025



Related Items

\(L^r\) convergence for \(B\)-valued random elements, Strong laws of large numbers and mean convergence theorems for randomly weighted sums of arrays under a condition of integrability, Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables, On the strong law of large numbers and \(\mathcal L_p\)-convergence for double arrays of random elements in \(p\)-uniformly smooth Banach spaces, Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications, Convergence in mean for double arrays of \(M\)-pairwise negatively dependent random variables, A New Version of Uniform Integrability via Power Series Summability Methods, The strong convergence properties of weighted sums for a class of dependent random variables, Some mean convergence theorems for weighted sums of Banach space valued random elements, On the concept of \(B\)-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense, Moment Inequalities for $m$-NOD Random Variables and Their Applications, Explaining the size distribution of cities: Extreme economies, Some theorems on conditional mean convergence and conditional almost sure convergence for randomly weighted sums of dependent random variables, Unnamed Item, Sharp sufficient conditions for mean convergence of the maximal partial sums of dependent random variables with general norming sequences, Mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables, Laws of large numbers and complete convergence for WOD random variables and their applications, Convergence in \(p\)-mean for arrays of row-wise extended negatively dependent random variables, Bump detection in the presence of dependency: does it ease or does it load?, On the concept of \(A\)-statistical uniform integrability and the law of large numbers, Some mean convergence and complete convergence theorems for sequences of \(m\)-linearly negative quadrant dependent random variables., On convergence for sequences of pairwise negatively quadrant dependent random variables., Strong convergence for weighted sums of arrays of rowwise pairwise NQD random variables, Mean convergence theorem for multidimensional arrays of random elements in Banach spaces, Convergence in \(p\)-mean for arrays of random variables, WLLN for arrays of nonnegative random variables, Limit behaviors for ANA random variables under R-h-integrability and SR-h-integrability, Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability, Mean convergence theorems for weighted sums of arrays of residually \(h\)-integrable random variables concerning the weights under dependence assumptions, Mean convergence theorems and weak laws of large numbers for arrays of measurable operators under some conditions of uniform integrability, L1-Convergence for Weighted Sums of Some Dependent Random Variables, Weak laws of large numbers for arrays of dependent random variables, A new type of compact uniform integrability with application to degenerate mean convergence of weighted sums of Banach space valued random elements, Convergence of weighted sums for sequences of pairwise NQD random variables, Some Limit Theorems for Arrays of Rowwise Pairwise Negatively Quadratic Dependent Random Variables, Some results concerning ideal and classical uniform integrability and mean convergence, Conditional mean convergence theorems of conditionally dependent random variables under conditions of integrability



Cites Work