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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The number and size of the claims an insured person has are assumed to follow a Geometric distribution and a Pareto distribution, respectively.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, the classical Bonus-Malus Systems (BMS) under which a premium is set by taking into account only the number of accidents each policyholder has, is compared with an optimal BMS under which the premium is set by taking into account both the frequency and the severity of the claims of each policyholder.
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Key Findings & Data:In this paper, the classical Bonus-Malus Systems (BMS) under which a premium is set by taking into account only the number of accidents each policyholder has, is compared with an optimal BMS under which the premium is set by taking into account both the frequency and the severity of the claims of each policyholder.
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Conclusion & Impact:The number and size of the claims an insured person has are assumed to follow a Geometric distribution and a Pareto distribution, respectively.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Net premium principle · Quadratic error loss function · Mixed distributions
Abstract
In this paper, the classical Bonus-Malus Systems (BMS) under which a premium is set by taking into account only the number of accidents each policyholder has, is compared with an optimal BMS under which the premium is set by taking into account both the frequency and the severity of the claims of each policyholder. The number and size of the claims an insured person has are assumed to follow a Geometric distribution and a Pareto distribution, respectively.
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Cite This Article
MERT, M., SAYKAN, Y. (2022). ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO. Hacettepe Journal of Mathematics and Statistics, Cilt: 34 - Sayı:, 75–81. https://ajindex.com/articles/530786