@article {10.3844/jmssp.2014.339.357, article_type = {journal}, title = {ASYMPTOTIC BEHAVIOR OF FINITE-TIME RUIN PROBABILITY IN A BY-CLAIM RISK MODEL WITH CONSTANT INTEREST RATE}, author = {Wang, Lei}, volume = {10}, year = {2014}, month = {Aug}, pages = {339-357}, doi = {10.3844/jmssp.2014.339.357}, url = {https://thescipub.com/abstract/jmssp.2014.339.357}, abstract = {This study investigates the ruin probability of a renewal risk model with constant interest rate and by-claim parts. We assume that the claim size and the inter-arrival time satisfy a certain dependent structure with some additional assumptions on their distribution functions. In particular, we study the asymptotic behavior of P(R*δ´ (t, x) >x), which holds uniformly in a finite interval. In this way, we significantly extend the Li's result regarding the pairwise strong quasi-asymptotically independent random variables.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }