2010•Journal of tianjin University of TechnologyRequires access

Study of expected discounted penalty function on the compound Markov binomial model

Jun-Yi Guo

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Abstract

In Compound Markov binomial risk model,we obtained the connection m1(u) with m0(u) through researching on ordinary renewal process m1(u) and delayed renewal process m0(u).By using the theories of renewal process,we obtain the new expression of Gerber-Shiu expected discounted penalty function m(u) on the Compound Markov binomial risk model.

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In Compound Markov binomial risk model,we obtained the connection m1(u) with m0(u) through researching on ordinary renewal process m1(u) and delayed renewal process m0(u).By using the theories of renewal process,we obtain the new expression of Gerber-Shiu expected discounted penalty function m(u) on the Compound Markov binomial risk model.

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Available abstract

In Compound Markov binomial risk model,we obtained the connection m1(u) with m0(u) through researching on ordinary renewal process m1(u) and delayed renewal process m0(u).By using the theories of renewal process,we obtain the new expression of Gerber-Shiu expected discounted penalty function m(u) on the Compound Markov binomial risk model.

Key concepts: Markov chain, Penalty method, Mathematics, Markov process, Binomial (polynomial), Binomial distribution, Markov model, Risk model

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