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Second Order Asymptotics for Infinite-Time Ruin Probability in a Compound Renewal Risk Model

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Consider a compound renewal risk model, in which a single accident may cause more than one claim. Under the condition that the common distribution of the individual claims is second… Click to show full abstract

Consider a compound renewal risk model, in which a single accident may cause more than one claim. Under the condition that the common distribution of the individual claims is second order subexponential, we establish a second order asymptotic formula for the infinite-time ruin probability. Compared with the traditional ones, our second order asymptotic result is more precise and effective, which can be demonstrated by the numerical studies.

Keywords: renewal risk; order; compound renewal; probability; risk model; second order

Journal Title: Methodology and Computing in Applied Probability
Year Published: 2021

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