Discrete-time insurance models (Q6545377)
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scientific article; zbMATH DE number 7854928
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete-time insurance models |
scientific article; zbMATH DE number 7854928 |
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Discrete-time insurance models (English)
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29 May 2024
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The subject of the paper is a study of some insurance company ruin probability model in discrete time. The time-periods are the ones related to the sequential arrivals of claims and the perception of them both by an insurance and a reinsurance company. The size of payment by the insurance company is the same for any time-period and the claims are supposed to be independent and identically distributed in time. The control variables are two: the size of the payment mentioned above and the premium of the immediate insurer (after reinsurance) at each of the periods. The main results of the paper are actually the limit theorems related to the ruin probability of the insurer and the limit distribution of the insurance company under some assumptions.
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discrete-time insurance models
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optimal control
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stability with respect to small fluctuation of parameters and perturbation of random variables distributions describing the model
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ruin probability
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stochastic orders
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