#asymptotic independence

topicasymptotic independence

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math.PR2026

Asymptotics of randomly weighted sums without moment conditions of random weights

Qingwu Gao, Dimitrios G. Konstantinides, Charalampos D. Passalidis +2

The paper analyzes the asymptotic behavior of sums with random weights that lack moment assumptions, focusing on heavy‑tailed primary variables and extending Breiman's theorem, wit…