Risk Model of Generalized Poisson in a Markovian Environment
Fanliang Li
Abstract
Fanliang Li
Abstract
In this chapter,the problem of ruin probability is mainly discussed on condition that stochastic factors influence premiums income and more than two claims arrives at the same time.we obtain the integral equations satisfying ruin probability and then deduce the estimating expression of ruin probability with relation to safety loading coefficient when the initial capital tends to zero.Applying renewal theory,we give the converging rate of ruin probability.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this chapter,the problem of ruin probability is mainly discussed on condition that stochastic factors influence premiums income and more than two claims arrives at the same time.we obtain the integral equations satisfying ruin probability and then deduce the estimating expression of ruin probability with relation to safety loading coefficient when the initial capital tends to zero.Applying renewal theory,we give the converging rate of ruin probability.
Key concepts: Ruin theory, Mathematics, Poisson distribution, First-hitting-time model, Zero-inflated model, Applied mathematics, Zero (linguistics), Risk model