Exact expressions and upper bound for ruin probabilities in the compound Markov binomial model
Author
Abstract
Suggested Citation
Download full text from publisher
As the access to this document is restricted, you may want to
for a different version of it.References listed on IDEAS
- Gerber, Hans U., 1988. "Mathematical fun with ruin theory," Insurance: Mathematics and Economics, Elsevier, vol. 7(1), pages 15-23, January.
- repec:cup:astinb:v:25:y:1995:i:02:p:153-175_00 is not listed on IDEAS
- Michel, R., 1989. "Representation of a time-discrete probability of eventual ruin," Insurance: Mathematics and Economics, Elsevier, vol. 8(2), pages 149-152, June.
- repec:cup:astinb:v:24:y:1994:i:01:p:33-45_00 is not listed on IDEAS
- repec:cup:astinb:v:19:y:1989:i:02:p:179-190_00 is not listed on IDEAS
- Willmot, Gordon E., 1993. "Ruin probabilities in the compound binomial model," Insurance: Mathematics and Economics, Elsevier, vol. 12(2), pages 133-142, April.
- repec:cup:astinb:v:18:y:1988:i:02:p:161-168_00 is not listed on IDEAS
- Dickson, D. C. M., 2001. "Lundberg Approximations for Compound Distributions with Insurance Applications. By G. E. Willmot and X. S. Lin. (Springer, 2000)," British Actuarial Journal, Cambridge University Press, vol. 7(4), pages 690-691, October.
- Willmot, Gordon E., 1989. "Limiting tail behaviour of some discrete compound distributions," Insurance: Mathematics and Economics, Elsevier, vol. 8(3), pages 175-185, November.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- S. X. Liu & J. Y. Guo, 2006. "Discrete Risk Model Revisited," Methodology and Computing in Applied Probability, Springer, vol. 8(2), pages 303-313, June.
- Stanisław Heilpern, 2010. "Dependent discrete risk processes - calculation of the probability of ruin," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 20(2), pages 59-76.
- Chen, Mi & Yuen, Kam Chuen & Guo, Junyi, 2014. "Survival probabilities in a discrete semi-Markov risk model," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 205-215.
- Marceau, Etienne, 2009. "On the discrete-time compound renewal risk model with dependence," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 245-259, April.
- Cossette, Hélène & Marceau, Etienne & Trufin, Julien & Zuyderhoff, Pierre, 2020. "Ruin-based risk measures in discrete-time risk models," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 246-261.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Willmot, Gordon E. & Cai, Jun, 2001. "Aging and other distributional properties of discrete compound geometric distributions," Insurance: Mathematics and Economics, Elsevier, vol. 28(3), pages 361-379, June.
- XIAO, Lin, 2022. "Compound binomial risk model in a Markovian environment with capital cost and the calculation algorithm," Applied Mathematics and Computation, Elsevier, vol. 424(C).
- Cossette, Helene & Landriault, David & Marceau, Etienne, 2006. "Ruin probabilities in the discrete time renewal risk model," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 309-323, April.
- Marceau, Etienne, 2009. "On the discrete-time compound renewal risk model with dependence," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 245-259, April.
- Franck Adékambi & Essodina Takouda, 2020. "Gerber–Shiu Function in a Class of Delayed and Perturbed Risk Model with Dependence," Risks, MDPI, vol. 8(1), pages 1-25, March.
- Yang, Hu & Zhang, Zhimin & Lan, Chunmei, 2009. "Ruin problems in a discrete Markov risk model," Statistics & Probability Letters, Elsevier, vol. 79(1), pages 21-28, January.
- Dutang, C. & Lefèvre, C. & Loisel, S., 2013.
"On an asymptotic rule A+B/u for ultimate ruin probabilities under dependence by mixing,"
Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 774-785.
- Christophe Dutang & C. Lefevre & S. Loisel, 2013. "On an asymptotic rule A+B/u for ultimate ruin probabilities under dependence by mixing," Post-Print hal-01616175, HAL.
- Christophe Dutang & Claude Lefèvre & Stéphane Loisel, 2013. "On an asymptotic rule A+B/u for ultimate ruin probabilities under dependence by mixing," Post-Print hal-00746251, HAL.
- Søren Asmussen & Pierre Fiorini & Lester Lipsky & Tomasz Rolski & Robert Sheahan, 2008. "Asymptotic Behavior of Total Times for Jobs That Must Start Over if a Failure Occurs," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 932-944, November.
- Sanguesa, C., 2006. "Approximations of ruin probabilities in mixed Poisson models with lattice claim amounts," Insurance: Mathematics and Economics, Elsevier, vol. 39(1), pages 69-80, August.
- Psarrakos, Georgios & Politis, Konstadinos, 2008. "Tail bounds for the joint distribution of the surplus prior to and at ruin," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 163-176, February.
- 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.
- Stéphane Loisel & Julien Trufin, 2014. "Properties of a risk measure derived from the expected area in red," Post-Print hal-00870224, HAL.
- Cai, Jun & Dickson, David C.M., 2004. "Ruin probabilities with a Markov chain interest model," Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 513-525, December.
- Li, Shuanming & Garrido, José, 2002. "On the time value of ruin in the discrete time risk model," DEE - Working Papers. Business Economics. WB wb021812, Universidad Carlos III de Madrid. Departamento de EconomÃa de la Empresa.
- Cheng, Shixue & Gerber, Hans U. & Shiu, Elias S. W., 2000. "Discounted probabilities and ruin theory in the compound binomial model," Insurance: Mathematics and Economics, Elsevier, vol. 26(2-3), pages 239-250, May.
- Pavlova, Kristina P. & Willmot, Gordon E., 2004. "The discrete stationary renewal risk model and the Gerber-Shiu discounted penalty function," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 267-277, October.
- Serkan Eryilmaz, 2014. "On Distributions of Runs in the Compound Binomial Risk Model," Methodology and Computing in Applied Probability, Springer, vol. 16(1), pages 149-159, March.
- Lee, Wing Yan & Willmot, Gordon E., 2014. "On the moments of the time to ruin in dependent Sparre Andersen models with emphasis on Coxian interclaim times," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 1-10.
- Bao, Zhenhua & Song, Lixin & Liu, He, 2013. "A note on the inflated-parameter binomial distribution," Statistics & Probability Letters, Elsevier, vol. 83(8), pages 1911-1914.
- Psarrakos, Georgios, 2010. "On the DFR property of the compound geometric distribution with applications in risk theory," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 428-433, December.
- Rini Cahyandari & Sukono & Riaman & Nurnadiah Zamri, 2025. "Model of Discrete-Time Surplus Process for Scheme of Productive Waqf Integration with Sustainable Fishermen’s Welfare Benefits Based on Several Threshold Levels: Systematic Literature Review," Sustainability, MDPI, vol. 17(2), pages 1-25, January.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:insuma:v:34:y:2004:i:3:p:449-466. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505554 .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.
Printed from https://ideas.repec.org/a/eee/insuma/v34y2004i3p449-466.html