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Finite-time ruin probability with NQD dominated varying-tailed claims and NLOD inter-arrival times
Authors:Jingzhi Li  Kaiyong Wang  Yuebao Wang
Institution:(1) Department of Mathematics, Soochow University, Suzhou, 215006, China;(2) Department of Information and Computational Science, School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, 215009, China
Abstract:In 2007, Chen and Ng investigated infinite-time ruin probability with constant interest force and negatively quadrant dependent and extended regularly varying-tailed claims. Following this work, the authors obtain a weakly asymptotic equivalent formula for the finite-time and infinite-time ruin probability with constant interest force, negatively quadrant dependent, and dominated varying-tailed claims and negatively lower orthant dependent inter-arrival times. In particular, when the claims are consistently varying-tailed, an asymptotic equivalent formula is presented. This research is supported by the National Science Foundation of China under Grant No. 10671139.
Keywords:Heavy tail  negatively lower orthant dependent  negatively quadrant dependent  renewal model  ruin probability
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