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Strong laws of large numbers for pairwise PQD random variables: a necessary condition

Published 6 Apr 2020 in math.PR | (2004.02949v3)

Abstract: A necessary condition is given for a sequence of identically distributed and pairwise positively quadrant dependent random variables obeying the strong laws of large numbers with respect to the normalising constants $n{1/p}$ $(1 \leqslant p < 2)$.

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