Ruin Probabilities with Dependent Rates of Interest and Autoregressive Moving Average Structures
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32804
Ruin Probabilities with Dependent Rates of Interest and Autoregressive Moving Average Structures

Authors: Fenglong Guo, Dingcheng Wang

Abstract:

This paper studies ruin probabilities in two discrete-time risk models with premiums, claims and rates of interest modelled by three autoregressive moving average processes. Generalized Lundberg inequalities for ruin probabilities are derived by using recursive technique. A numerical example is given to illustrate the applications of these probability inequalities.

Keywords: Lundberg inequality, NWUC, Renewal recursive technique, Ruin probability

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1061266

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1482

References:


[1] Cai, J. Ruin probabilities with dependent rates of interest. J. Appl. Prob., 2002, 39(2): 312-323.
[2] Cai, J., Dickson, D. Ruin probabilities with a Markov chain interest model. Insurance Math. Econom., 2004, 35(3): 513-525.
[3] Gerber, H. Ruin theory in the linear model. Insurance Math. Econom., 1982, 1(3): 213-217.
[4] Shaked, M., Shanthikumar, J. Stochastic Orders and their Applications. Academic Press, San Diego, 1994.
[5] Sundt, B., Teugels, J. Ruin estimates under interest force. Insurance Math. Econom., 1995, 16(1): 7-22.
[6] Sundt, B., Teugels, J. The adjustment function in ruin estimates under interest force. Insurance Math. Econom., 1997, 19(2): 85-94.
[7] Willmot, G. E., Lin, X. S. Lundberg Approximations for Compound Distributions with Insurance Applications. Springer-Verlag, New York, 2001.
[8] Yang, H. Non-exponential bounds for ruin probability with interest effect included. Scand. Actuarial J., 1999, 1999(1): 66-79.
[9] Yang, H., Zhang, L. Martingale method for ruin probability in an autoregressive model with constant interest rate. Prob. Eng. Inf. Sci., 2003, 17(2): 183-198.