2012Fuzhou daxue xuebao. Ziran kexue banRequires access

The study of ruin probability for a double-type-insurance risk model

Shi Qi-yan

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Abstract

A kind of risk model is discussed,which is perturbed by interference when the number of premium income is a Poisson process and the claims are confined to Poisson process and negative binomial process.By the martingale approach and properties of surplus process,the formula and the Lundberg inequality of the ruin probability are obtained.

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What this paper is about

A kind of risk model is discussed,which is perturbed by interference when the number of premium income is a Poisson process and the claims are confined to Poisson process and negative binomial process.By the martingale approach and properties of surplus process,the formula and the Lundberg inequality of the ruin probability are obtained.

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Available abstract

A kind of risk model is discussed,which is perturbed by interference when the number of premium income is a Poisson process and the claims are confined to Poisson process and negative binomial process.By the martingale approach and properties of surplus process,the formula and the Lundberg inequality of the ruin probability are obtained.

Key concepts: Ruin theory, Martingale (probability theory), Poisson distribution, Mathematics, Zero-inflated model, Poisson process, Risk model, Compound Poisson process

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