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ASYMPTOTIC RUIN PROBABILITIES IN FINITE HORIZON WITH SUBEXPONENTIAL LOSSES AND ASSOCIATED DISCOUNT FACTORS

Published online by Cambridge University Press:  12 December 2005

Qihe Tang
Affiliation:
Department of Statistics and Actuarial Science, The University of Iowa, Iowa City, IA 52242-1409, Department of Mathematics and Statistics, Concordia University, Montreal, Quebec, H4B 1R6, Canada, E-mail: qtang@mathstat.concordia.ca

Abstract

Consider a discrete-time insurance risk model with risky investments. Under the assumption that the loss distribution belongs to a certain subclass of the subexponential class, Tang and Tsitsiashvili (Stochastic Processes and Their Applications 108(2): 299–325 (2003)) established a precise estimate for the finite time ruin probability. This article extends the result both to the whole subexponential class and to a nonstandard case with associated discount factors.

Information

Type
Research Article
Copyright
© 2006 Cambridge University Press

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