2007Science Technology and EngineeringRequires access

On the Ruin Functions for Two Classes of Risk Processes

Xiangzeng Liu

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Abstract

The ruin functions for a risk model involving two classes of insurance risks are considered.When the claim number processes are Erlang(2)processes,the formulae are derived for the distribution of the surplus immediately before ruin,for the distribution of the surplus immediately after ruin and the joint distribution of the surplus immediately before and after ruin.The asymptotic properties of these ruin functions are also investigated.

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The ruin functions for a risk model involving two classes of insurance risks are considered.When the claim number processes are Erlang(2)processes,the formulae are derived for the distribution of the surplus immediately before ruin,for the distribution of the surplus immediately after ruin and the joint distribution of the surplus immediately before and after ruin.The asymptotic properties of these ruin functions are also investigated.

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Available abstract

The ruin functions for a risk model involving two classes of insurance risks are considered.When the claim number processes are Erlang(2)processes,the formulae are derived for the distribution of the surplus immediately before ruin,for the distribution of the surplus immediately after ruin and the joint distribution of the surplus immediately before and after ruin.The asymptotic properties of these ruin functions are also investigated.

Key concepts: Ruin theory, Erlang (programming language), Mathematics, Risk model, Joint probability distribution, Erlang distribution, Distribution (mathematics), Mathematical economics

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