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The Expected Discounted Penalty Function with Random Income under Stochastic Discount Interest Force
Advanced Materials Research, 2010We study the delayed risk model with random premium income. The premium process is not a linear function of time in contrast with the classical model, but a Poisson process which is also independent of the claim process. We shall consider the case where the discount interest process is no longer a constant in comparison with the classical expected ...
Wen Guang Yu, Zhi Liu
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The gerber-shiu expected discounted penalty function for Lévy insurance risk processes
Acta Mathematicae Applicatae Sinica, English Series, 2010A Lévy risk model \(\{X_t\}\) without a Brownian component and with \(\mathbb{E}[X_1] > 0\) is considered, where the upward jumps are bounded by some constant \(-a \geq 0\). The goal is to calculate the Gerber--Shiu expected discounted penalty function \[ \Phi(x) = \mathbb{E}\bigl[ e^{-\delta T} 1_{T < \infty} w(X_{T-},|X_T|) \bigm| X_0 = x\bigr]\;, \]
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Expected discounted penalty function of erlang(2) risk model with constant interest
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The expected discounted penalty function: from infinite time to finite time
Scandinavian Actuarial Journal, 2019In this paper we study the finite-time expected discounted penalty function (EDPF) and its decomposition in the classical risk model perturbed by diffusion.
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Statistics & Probability Letters, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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