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The joint distributions of several important actuarial diagnostics in the classical risk model

Insurance: Mathematics and Economics, 2002
For the risk process consisting of a compound Poisson part and a constant premium flow the authors derive the distribution and joint distribution of various associated variables. These include the surplus prior to ruin, the deficit at ruin, the maximum and minimum profit before ruin etc.
Wei, Li, Wu, Rong
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Banach contraction principle, q-scale function and ultimate ruin probability under a Markov-modulated classical risk model

Scandinavian Actuarial Journal, 2021
Suppose that risk reserves of an insurance company are governed by a Markov-modulated classical risk model with parameters modulated by a finite-state irreducible Markov chain. The main purpose of this paper is to calculate ultimate ruin probability that
Zhengjun Jiang
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The distribution of the first point in the classical risk model with interest

Statistics & Probability Letters, 2007
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Li, Zhigang, Wu, Rong, Du, Yonghong
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The Time of Ruin in the Classical Poisson Risk Model

2017
Distribution and moments involving the time of ruin is the subject matter of this chapter. Moments of the time of ruin are considered in Sect. 6.1. For the distribution of the time of ruin, one approach involves analytic inversion of the Laplace transform of the time of ruin, a special Gerber-Shiu function.
Gordon E. Willmot, Jae-Kyung Woo
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Optimal dividend payout for classical risk model with risk constraint

Acta Mathematicae Applicatae Sinica, English Series, 2014
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