Approximation for the Finite-Time Ruin Probability of a General Risk Model with Constant Interest Rate and Extended Negatively Dependent Heavy-Tailed Claims
Author(s) -
Yang Yang,
Xin Ma,
JinGuan Lin
Publication year - 2011
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/852852
Subject(s) - constant (computer programming) , risk model , mathematics , first hitting time model , ruin theory , counting process , risk process , statistical physics , statistics , computer science , physics , programming language
We propose a general continuous-time risk model with a constant interest rate. In this model, claims arrive according to an arbitrary counting process, while their sizes have dominantly varying tails and fulfill an extended negative dependence structure. We obtain an asymptotic formula for the finite-time ruin probability, which extends a corresponding result of Wang (2008)
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