Ruin Probability about Dual Poisson Model with Discrete Time
Jun Tan, Shun-Yi Yang
Abstract
Jun Tan, Shun-Yi Yang
Abstract
In this paper, we discuss the discrete time compound Poisson model with premium income process also being a compound Poisson process. As the premium incomes and the individual claim amounts are discrete random variables with non-negative integer values, we find the calculation formulas of the finite time ruin probability and the eventual ruin probability by using transition probability.
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In this paper, we discuss the discrete time compound Poisson model with premium income process also being a compound Poisson process. As the premium incomes and the individual claim amounts are discrete random variables with non-negative integer values, we find the calculation formulas of the finite time ruin probability and the eventual ruin probability by using transition probability.
Key concepts: Mathematics, Zero-inflated model, Poisson distribution, Compound Poisson distribution, Compound Poisson process, Poisson process, Poisson binomial distribution, Poisson regression