Estimating the adjustment coefficient in an ARMA(p, q) risk model
Author
Abstract
Suggested Citation
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Promislow, S. David, 1991. "The probability of ruin in a process with dependent increments," Insurance: Mathematics and Economics, Elsevier, vol. 10(2), pages 99-107, July.
- Grandell, Jan, 1979. "Empirical bounds for ruin probabilities," Stochastic Processes and their Applications, Elsevier, vol. 8(3), pages 243-255, May.
- Csorgo, Miklos & Steinebach, Josef, 1991. "On the estimation of the adjustment coefficient in risk theory via intermediate order statistics," Insurance: Mathematics and Economics, Elsevier, vol. 10(1), pages 37-50, March.
- Mammitzsch, V., 1986. "A note on the adjustment coefficient in ruin theory," Insurance: Mathematics and Economics, Elsevier, vol. 5(2), pages 147-149, April.
- Gerber, Hans U., 1982. "Ruin theory in the linear model," Insurance: Mathematics and Economics, Elsevier, vol. 1(3), pages 213-217, July.
- Herkenrath, Ulrich, 1986. "On the estimation of the adjustment coefficient in risk theory by means of stochastic approximation procedures," Insurance: Mathematics and Economics, Elsevier, vol. 5(4), pages 305-313, October.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Hélène Cossette & Etienne Marceau & Véronique Maume-Deschamps, 2011. "Adjustment Coefficient for Risk Processes in Some Dependent Contexts," Methodology and Computing in Applied Probability, Springer, vol. 13(4), pages 695-721, December.
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.- Albrecher Hansjörg & Kantor Josef, 2002. "Simulation of ruin probabilities for risk processes of Markovian type," Monte Carlo Methods and Applications, De Gruyter, vol. 8(2), pages 111-128, December.
- Hélène Cossette & Etienne Marceau & Véronique Maume-Deschamps, 2011. "Adjustment Coefficient for Risk Processes in Some Dependent Contexts," Methodology and Computing in Applied Probability, Springer, vol. 13(4), pages 695-721, December.
- Cossette, Hélène & Marceau, Étienne & Toureille, Florent, 2011. "Risk models based on time series for count random variables," Insurance: Mathematics and Economics, Elsevier, vol. 48(1), pages 19-28, January.
- Muller, Alfred & Pflug, Georg, 2001. "Asymptotic ruin probabilities for risk processes with dependent increments," Insurance: Mathematics and Economics, Elsevier, vol. 28(3), pages 381-392, June.
- Zhang, Zhiqiang & Yuen, Kam C. & Li, Wai Keung, 2007. "A time-series risk model with constant interest for dependent classes of business," Insurance: Mathematics and Economics, Elsevier, vol. 41(1), pages 32-40, July.
- Barbe, Ph. & McCormick, W.P., 2010. "An extension of a logarithmic form of Cramér's ruin theorem to some FARIMA and related processes," Stochastic Processes and their Applications, Elsevier, vol. 120(6), pages 801-828, June.
- Phung Duy Quang, 2017. "Upper Bounds for Ruin Probability in a Controlled Risk Process under Rates of Interest with Homogenous Markov Chains," Journal of Statistical and Econometric Methods, SCIENPRESS Ltd, vol. 6(3), pages 1-4.
- Li, Zhouping & Gong, Yun & Peng, Liang, 2010. "Empirical likelihood method for intermediate quantiles," Statistics & Probability Letters, Elsevier, vol. 80(11-12), pages 1022-1029, June.
- Brito, Margarida & Moreira Freitas, Ana Cristina, 2006. "Weak convergence of a bootstrap geometric-type estimator with applications to risk theory," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 571-584, June.
- Homm, Ulrich & Pigorsch, Christian, 2012. "An operational interpretation and existence of the Aumann–Serrano index of riskiness," Economics Letters, Elsevier, vol. 114(3), pages 265-267.
- Araichi, Sawssen & Peretti, Christian de & Belkacem, Lotfi, 2016. "Solvency capital requirement for a temporal dependent losses in insurance," Economic Modelling, Elsevier, vol. 58(C), pages 588-598.
- Peng, Xiaofan & Chen, Mi & Guo, Junyi, 2012. "Optimal dividend and equity issuance problem with proportional and fixed transaction costs," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 576-585.
- Gajek, Leslaw, 2005. "On the deficit distribution when ruin occurs--discrete time model," Insurance: Mathematics and Economics, Elsevier, vol. 36(1), pages 13-24, February.
- Brito, Margarida & Freitas, Ana Cristina Moreira, 2008. "Edgeworth expansion for an estimator of the adjustment coefficient," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 203-208, October.
- Brito, Margarida & Moreira Freitas, Ana Cristina, 2003. "Limiting behaviour of a geometric-type estimator for tail indices," Insurance: Mathematics and Economics, Elsevier, vol. 33(2), pages 211-226, October.
- Ramsés H. Mena & Luis E. Nieto-Barajas, 2007. "Exchangeable Claims Sizes in a Compound Poisson Type Proces," ICER Working Papers - Applied Mathematics Series 19-2007, ICER - International Centre for Economic Research.
- Nyrhinen, Harri, 1995. "On the typical level crossing time and path," Stochastic Processes and their Applications, Elsevier, vol. 58(1), pages 121-137, July.
- Ghosh, Souvik & Samorodnitsky, Gennady, 2010. "Long strange segments, ruin probabilities and the effect of memory on moving average processes," Stochastic Processes and their Applications, Elsevier, vol. 120(12), pages 2302-2330, December.
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:17:y:1995:i:2:p:149-161. 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.