Weak laws of large numbers for sequences of random variables with infinite \(r\)th moments

DOI10.1007/S10474-018-0865-0zbMath1413.60018OpenAlexW2887911598WikidataQ114852424 ScholiaQ114852424MaRDI QIDQ1714988

Erdal Karapınar

Publication date: 1 February 2019

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

Full work available at URL: https://doi.org/10.1007/s10474-018-0865-0

zbMATH Keywords

random variableweak law of large numbersweighted sumindependence limit theoreminfinite moment

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (8)

Generalized Marcinkiewicz Laws for Weighted Dependent Random Vectors in Hilbert Spaces ⋮ Central limit theorems for weighted sums of dependent random vectors in Hilbert spaces via the theory of the regular variation ⋮ Unnamed Item ⋮ Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of random variables with infinite moment and its applications ⋮ New asymptotic results for generalized Oppenheim expansions ⋮ Unnamed Item ⋮ Some Convergence Properties for Weighted Sums of Martingale Difference Random Vectors ⋮ Convergence in mean and central limit theorems for weighted sums of martingale difference random vectors with infinite rth moments

This page was built for publication: Weak laws of large numbers for sequences of random variables with infinite \(r\)th moments