The expected discounted penalty function under a renewal risk model with stochastic income

DOI10.1016/j.amc.2011.11.101zbMath1242.60089OpenAlexW2107741273MaRDI QIDQ434650

Yongxia Zhao, Chuan-Cun Yin

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.101

zbMATH Keywords

Laplace transformstochastic incomedefective renewal equationGerber-Shiu discounted penalty function

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Markov renewal processes, semi-Markov processes (60K15)

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Cites Work

• Unnamed Item
• Unnamed Item
• The Gerber-Shiu function and the generalized Cramér-Lundberg model
• On a class of stochastic models with two-sided jumps
• The expected discounted penalty at ruin in the risk process with random income
• The Gerber-Shiu discounted penalty function in the delayed renewal risk process with random income
• On a risk model with stochastic premiums income and dependence between income and loss
• On ruin for the Erlang \((n)\) risk process
• The expected discounted penalty function under a risk model with stochastic income
• The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin
• On the time to ruin for Erlang(2) risk processes.
• Risk process with random income
• On a class of renewal risk model with random income
• A Note on Negative Customers, GI/G/1 Workload, and Risk Processes
• The Time Value of Ruin in a Sparre Andersen Model
• On the Time Value of Ruin