|
Abstract
|
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 us-
ing the convolution of claim amount and Lagrange’s implicit function theorem. Lastly,
the theoretical results are illustrated with numerical computations.
|