Asymptotics for the Finite Time Ruin Probability in the Renewal Model with Consistent Variation

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Tails of random sums of a heavy-tailed number of light-tailed terms (2007, background): “The concept of consistent variation has been proven useful in various papers in queueing systems and ruin theory (Cai and Tang, 2004; Kaas and Tang, 2005; Ng et al., 2004; Tang, 2004).”
Uniform Asymptotics for the Finite-Time Ruin Probability of a Dependent Risk Model with a Constant Interest Rate (2013, background): “∞ for some v> J + + 1, Theorem 3.1 of Tang (2004) obtained Eq. 1.10 holds uniformly for t ∈ � . Hence, Corollary 1.2 has canceled the moment condition EY v”
Asymptotics for the ruin probabilities of a two-dimensional renewal risk model with heavy-tailed claims (2011, background): “Tang [6] proved that the relation ψ(x, t) ∼ 1 μ ∫ x+μλ(t)”
A property of the renewal counting process with application to the finite-time ruin probability (2009, result): “The following result was proved by Tang [ 10 ]:”