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On some measures of the severity of ruin in the classical Poisson model

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  • Picard, Philippe

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  • Picard, Philippe, 1994. "On some measures of the severity of ruin in the classical Poisson model," Insurance: Mathematics and Economics, Elsevier, vol. 14(2), pages 107-115, May.
    • Handle: RePEc:eee:insuma:v:14:y:1994:i:2:p:107-115
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    Cited by:

    1. Loisel, Stéphane & Trufin, Julien, 2014. "Properties of a risk measure derived from the expected area in red," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 191-199.
    2. Lkabous, Mohamed Amine & Wang, Zijia, 2023. "On the area in the red of Lévy risk processes and related quantities," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 257-278.
    3. repec:hal:wpaper:hal-00870224 is not listed on IDEAS
    4. Wei, Li & Wu, Rong, 2002. "The joint distributions of several important actuarial diagnostics in the classical risk model," Insurance: Mathematics and Economics, Elsevier, vol. 30(3), pages 451-462, June.
    5. Danijel Grahovac, 2018. "Densities of Ruin-Related Quantities in the Cramér-Lundberg Model with Pareto Claims," Methodology and Computing in Applied Probability, Springer, vol. 20(1), pages 273-288, March.
    6. Li, Shuanming & Lu, Yi, 2013. "On the generalized Gerber–Shiu function for surplus processes with interest," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 127-134.
    7. Wang, Nan & Politis, Konstadinos, 2002. "Some characteristics of a surplus process in the presence of an upper barrier," Insurance: Mathematics and Economics, Elsevier, vol. 30(2), pages 231-241, April.
    8. Romain Biard & Stéphane Loisel & Claudio Macci & Noel Veraverbeke, 2010. "Asymptotic behavior of the finite-time expected time-integrated negative part of some risk processes and optimal reserve allocation," Post-Print hal-00372525, HAL.
    9. Kolkovska, Ekaterina T. & Lopez-Mimbela, Jose A. & Morales, Jose Villa, 2005. "Occupation measure and local time of classical risk processes," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 573-584, December.
    10. Michael V. Boutsikas & Konstadinos Politis, 2017. "Exit Times, Overshoot and Undershoot for a Surplus Process in the Presence of an Upper Barrier," Methodology and Computing in Applied Probability, Springer, vol. 19(1), pages 75-95, March.
    11. Dickson, David C. M. & Egidio dos Reis, Alfredo D., 1997. "The effect of interest on negative surplus," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 1-16, October.
    12. Li, Shuanming & Lu, Yi, 2017. "Distributional study of finite-time ruin related problems for the classical risk model," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 319-330.
    13. Dickson, David C. M. & Waters, Howard R., 1999. "Ruin probabilities with compounding assets," Insurance: Mathematics and Economics, Elsevier, vol. 25(1), pages 49-62, September.
    14. Gerber, Hans U. & Landry, Bruno, 1998. "On the discounted penalty at ruin in a jump-diffusion and the perpetual put option," Insurance: Mathematics and Economics, Elsevier, vol. 22(3), pages 263-276, July.
    15. Cénac P. & Maume-Deschamps V. & Prieur C., 2012. "Some multivariate risk indicators: Minimization by using a Kiefer–Wolfowitz approach to the mirror stochastic algorithm," Statistics & Risk Modeling, De Gruyter, vol. 29(1), pages 47-72, March.
    16. Wu, Rong & Wang, Guojing & Wei, Li, 2003. "Joint distributions of some actuarial random vectors containing the time of ruin," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 147-161, August.
    17. Li, Shuanming & Dickson, David C.M., 2006. "The maximum surplus before ruin in an Erlang(n) risk process and related problems," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 529-539, June.
    18. He, Jingmin & Wu, Rong & Zhang, Huayue, 2009. "Total duration of negative surplus for the risk model with debit interest," Statistics & Probability Letters, Elsevier, vol. 79(10), pages 1320-1326, May.
    19. Li, Shuanming & Ren, Jiandong, 2013. "The maximum severity of ruin in a perturbed risk process with Markovian arrivals," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 993-998.

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