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Dergiler / Ekoist: Journal of Econometrics and Statistics / 2023 / Sayı: 39

A Comparative Perspective on Multivariate Modeling of Insurance Compensation Payments with Regression-Based and Copula-Based Models

Övgücan Karadağ Erdemir(HACETTEPE UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF ACTUARIAL SCIENCES)0000-0002-4725-3588
Sayfa
161–171
Yayın Tarihi
2023-12-27
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Based on the comparison of model results, a mixture of copula-based models is found to be more suitable for the multivariate modeling of insurance compensation payments.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, compensation payments for Turkish motor vehicles’ compulsory third-party liability insurance between 2018 and 2022 are modeled from a comparative perspective using regression-based and copula-based multivariate statistical methods.
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Temel Bulgular & Veri:The assumption of gamma distribution for logarithmic compensation payment variables is carried out in both approaches.
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Sonuç & Katkı:Based on the comparison of model results, a mixture of copula-based models is found to be more suitable for the multivariate modeling of insurance compensation payments.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:2018 Verileri
⚙️Değişkenler:Bivariate Gamma Distribution · Copula · Generalized Linear Model

Abstract

In this study, compensation payments for Turkish motor vehicles’ compulsory third-party liability insurance between 2018 and 2022 are modeled from a comparative perspective using regression-based and copula-based multivariate statistical methods. The assumption of gamma distribution for logarithmic compensation payment variables is carried out in both approaches. Bivariate gamma regression is established using the bivariate gamma distribution, and the mixture of experts, one of the machine learning techniques, is employed to form the mixture of bivariate gamma regressions. The bivariate copula regression and finite mixture of copula regression models are designed using the Gumbel and Frank copula functions. The computational analyses were conducted using the mvClaim package in R. Based on the comparison of model results, a mixture of copula-based models is found to be more suitable for the multivariate modeling of insurance compensation payments.

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Bu Makaleye Atıf Yap

Erdemir, Ö. K. (2023). A Comparative Perspective on Multivariate Modeling of Insurance Compensation Payments with Regression-Based and Copula-Based Models. Ekoist: Journal of Econometrics and Statistics, Sayı: 39, 161–171. https://ajindex.com/articles/1478100

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