Abstract:In the paper, we investigate the asymptotics of randomly weighted sums with upper tail asymptotically independent and quasi-upper tail asymptotically independent primary random variables without requiring moment assumptions on random weights. For the case of primary random variables with regularly varying tails, we obtain more explicit results via an extension of Breiman's theorem. Then an application of the obtained results is established to asymptotically estimate for the finite-time and infinite-time ruin probabilities in a discrete-time risk model.
From: Qingwu Gao [view email]
[v1]
Thu, 26 Feb 2026 15:24:24 UTC (26 KB)
[v2]
Mon, 9 Mar 2026 15:40:58 UTC (26 KB)
[v3]
Sat, 21 Mar 2026 15:08:42 UTC (27 KB)
[v4]
Tue, 14 Jul 2026 13:06:28 UTC (27 KB)
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