Asymptotic distribution of the discounted proper deficit in the discrete time delayed renewal model
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In this paper we consider the discrete time delayed renewal risk model. We investigate what will happen when the distribution function of the discounted proper deficit is asymptotic in the initial surplus. In doing this we establish several lemmas regarding some related ruin quantities in the discrete time delayed renewal risk model, which are of significance on their own right.
Abstract
In this paper we consider the discrete time delayed renewal risk model. We investigate what will happen when the distribution function of the discounted proper deficit is asymptotic in the initial surplus. In doing this we establish several lemmas regarding some related ruin quantities in the discrete time delayed renewal risk model, which are of significance on their own right.
참고문헌 (12)
- Z. Bao, "The Gerber-Shiu discounted penalty function in the delayed renewal risk process with random income", Appl. Math. Comput, 184(2), pp.857~863 (2007)
- H. Cossette, "Ruin probabilities in the discrete time renewal risk model", Insurance Math. Econom, 38(2), pp.309~323 (2006)
- S. Cheng, "Discounted probabilities and ruin theory in the compound binomial model", Insurance Math. Econom, 26(2), pp.239~250 (2000)
- H. U. Gerber, "On the time value of ruin", N. Am. Actuar. J, 2(1), pp.48~78 (1998)
- S. Karlin, "A First Course in Stochastic Processes" (1975), Academic Press
- S. Li, "On a class of discrete time renewal risk models", Scand. Actuar. J, (4), pp.241~260 (2005)
- S. Li, "Distributions of the surplus before ruin, the deficit at ruin and the claim causing ruin in a class of discrete time risk models", Scand. Actuar. J, (4), pp.271~284 (2005)
- On the time value of ruin in the discrete time risk model, "S. Li", ~, pp.Working paper 02-18 (2002)
- K. P. Pavlova, "The discrete stationary renewal risk model and the Gerber-Shiu discounted penalty function", Insurance Math. Econom, 35(2), pp.267~277 (2004)
- G. E. Willmot, "A note on a class of delayed renewal risk processes", Insurance Math. Econom, 34(2), pp.251~257 (2004)
- G. E. Willmot, "Lundberg Approximations for Compound Distributions with Insurance Applications", Lecture Notes in Statistics, 156 (2001), Springer-Verlag
- X. Wu, "On the discounted penalty function in a discrete time renewal risk model with general interclaim times", Scand. Actuar. J, (4), pp.281~294 (2009)
