On the convergence of series of moments for row sums of random variables

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Abstract

Given a triangular array 1 of random variables satisfying < 1 for some p > 1 and sequences {bn}, {cn} of positive real numbers, weshall prove that ∞ < 1, where x+ = max(x, 0). Our results are announced in a general setting, allowing us to obtain the convergence of the series in question under various types of dependence.

Original languageEnglish
Pages (from-to)1875-1888
Number of pages14
JournalFilomat
Volume34
Issue number6
DOIs
Publication statusPublished - 2020

Keywords

  • Convergence of series of moments
  • Dependent random variables

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