Ruin related quantities in a class of state-space compound binomial models

The main focus of this paper is to extend the analysis of some ruin related problems to a class of state-space compound binomial risk models for a sequence of independent and identically distributed random variables of interclaim times when the claim occurrences are homogeneous‎. ‎First‎, ‎we obtain the mass function of a defective renewal sequence of random {Fn }n≥0 -stopping times‎, ‎using the compound binomial of aggregate claim amount together the net profit condition‎, ‎and compute the infinite time ruin probability with Markov property of risk process‎. ‎Moreover‎, ‎we derive the distribution of the time to ruin among many random variables associated with ruin using the convolution of claim amount and Lagrange’s implicit function theorem‎. ‎Lastly‎, ‎the theoretical results are illustrated with numerical computations‎.

Ruin related quantities in a class of state-space compound binomial models Keywords:

Compound binomial risk model , Homogenous claim occurrences , Ruin probability , Time to ruin