Hong, Nguyen Thi Thuy On finite-time ruin probabilities for general risk models. (English) Zbl 1300.91037 East-West J. Math. 15, No. 1, 85-100 (2013). Summary: We proved the formula calculating the ruin probability for a general risk model. We generalized the Picard-Lefèvre formula (see [P. Picard and C. Lefèvre, Scand. Actuar. J. 1997, No. 1, 58–69 (1997; Zbl 0926.62103)]) for ruin probability of compound binomial risk model as well as the results of C. Lefèvre and L. Stéphane [ibid. 2008, No. 1, 41–60 (2008; Zbl 1164.91033)]. In their studies, the authors gave the formula of ruin probability for classical risk model only while in our study, we figured out the formula for a general risk model. MSC: 91B30 Risk theory, insurance (MSC2010) 60J20 Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) Keywords:ruin probability; premium; claims; general risk models; Markov chain Citations:Zbl 0926.62103; Zbl 1164.91033 PDFBibTeX XMLCite \textit{N. T. T. Hong}, East-West J. Math. 15, No. 1, 85--100 (2013; Zbl 1300.91037)