Advances in Decision Sciences
Volume 2012 (2012), Article ID 936525, 17 pages
http://dx.doi.org/10.1155/2012/936525
Research Article

Uniform Estimate of the Finite-Time Ruin Probability for All Times in a Generalized Compound Renewal Risk Model

Qingwu Gao,1 Na Jin,2 and Juan Zheng3

1School of Mathematics and Statistics, Nanjing Audit University, Nanjing 211815, China
2Investment Department, Nanjing Times Media Co., Ltd., Nanjing 210039, China
3School of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, China

Received 4 April 2012; Accepted 23 September 2012

Academic Editor: Raymond Chan

Copyright © 2012 Qingwu Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We discuss the uniformly asymptotic estimate of the finite-time ruin probability for all times in a generalized compound renewal risk model, where the interarrival times of successive accidents and all the claim sizes caused by an accident are two sequences of random variables following a wide dependence structure. This wide dependence structure allows random variables to be either negatively dependent or positively dependent.