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On a compounding assets model with positive jumps

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  • Yinghui Dong
  • Guojing Wang

Abstract

In this paper, a compounding assets model with positive jumps is proposed. Integral equations and integro‐differential equations for the survival probability and the ruin probability for the proposed model are derived. By using a probability method, an exact expression in the form of series for the ruin probability is obtained. Some closed‐form expressions for the survival probability are deduced by solving certain integro‐differential equations. Copyright © 2007 John Wiley & Sons, Ltd.

Suggested Citation

  • Yinghui Dong & Guojing Wang, 2008. "On a compounding assets model with positive jumps," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(1), pages 21-30, January.
  • Handle: RePEc:wly:apsmbi:v:24:y:2008:i:1:p:21-30
    DOI: 10.1002/asmb.690
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    Cited by:

    1. Sooie-Hoe Loke & Enrique Thomann, 2018. "Numerical Ruin Probability in the Dual Risk Model with Risk-Free Investments," Risks, MDPI, vol. 6(4), pages 1-13, October.
    2. Dimitrova, Dimitrina S. & Kaishev, Vladimir K. & Zhao, Shouqi, 2015. "On finite-time ruin probabilities in a generalized dual risk model with dependence," European Journal of Operational Research, Elsevier, vol. 242(1), pages 134-148.

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