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On the convergence of series of moments for row sums of random variables
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Resumo(s)
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.
Descrição
UIDB/04035/2020
Palavras-chave
Convergence of series of moments Dependent random variables General Mathematics