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Upper bounds for ruin probabilities in two dependent risk models under rates of interest
Author(s) -
Yao Dingjun,
Wang Rongming
Publication year - 2009
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.768
Subject(s) - risk model , autoregressive model , mathematics , econometrics , ruin theory , interest rate , mathematical economics , economics , finance
In this article, we consider two discrete‐time risk models, in which dependent structures of the payments and the interest force are considered. Two autoregressive moving‐average (ARMA) models are introduced to model the premiums and rates of interest, and the claims are assumed to be independent. Generalized Lundberg inequalities for the ruin probabilities are derived by using renewal recursive technique, which extend some known results. Copyright © 2009 John Wiley & Sons, Ltd.