an:07288536
Zbl 1459.60188
Jin, Fang; Wu, Chengxun; Ou, Hui
Compound binomial model with batch Markovian arrival process
EN
Math. Probl. Eng. 2020, Article ID 1932704, 10 p. (2020).
00450504
2020
j
60K25 60K10 60J28
Summary: A compound binomial model with batch Markovian arrival process was studied, and the specific definitions are introduced. We discussed the problem of ruin probabilities. Specially, the recursion formulas of the conditional finite-time ruin probability are obtained and the numerical algorithm of the conditional finite-time nonruin probability is proposed. We also discuss research on the compound binomial model with batch Markovian arrival process and threshold dividend. Recursion formulas of the Gerber-Shiu function and the first discounted dividend value are provided, and the expressions of the total discounted dividend value are obtained and proved. At the last part, some numerical illustrations were presented.