The Recursive Formulas of Some Actuarial Quantities for the Compound Markov Binomial Risk Model
The properties of some actuarial quantities for the compound Markov binomial risk model are studied.These quantities include the total number of claims,the longest run and the shortest run before ruin in some fixed time period.These quantities are important for the decision making of insurance companies.Markov property and conditional distribution on the first claim are used to get the recursive formulas.The research of these quantities enriches the content of actuarial theory.
compound Markov binomial risk modeltotal number of claimslongest run without claimshortest run without claimtotal number of runs