Оцінювання параметрів узагальнених лінійних моделей в аналізі актуарних ризиків

Methods of estimating the parameters of generalized linear models for the case of paying insurance premiums to clients are considered. The iterative-recursive weighted least squares method, the Adam optimization algorithm, and the Monte Carlo method for Markov chains were implemented. Insurance indi...

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Bibliographic Details
Date:2023
Main Authors: Panibratov, Roman, Bidyuk, Petro
Format: Article
Language:English
Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2023
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Online Access:http://journal.iasa.kpi.ua/article/view/285518
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Journal Title:System research and information technologies

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System research and information technologies
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Summary:Methods of estimating the parameters of generalized linear models for the case of paying insurance premiums to clients are considered. The iterative-recursive weighted least squares method, the Adam optimization algorithm, and the Monte Carlo method for Markov chains were implemented. Insurance indicators and the target variable were randomly generated due to the problem of public access to insurance data. For the latter, the normal and exponential law of distribution and the Pareto distribution with the corresponding link functions were used. Based on the quality metrics of model learning, conclusions were made regarding their construction quality.