On Quantile Credibility Estimators Under An Equal Correlation Structure Over Risks

  • Ghada Arafa Badji Mokhtar-Annaba University, Algeria
  • Farouk Metiri Badji Mokhtar-Annaba University, Algeria
  • Ahmed Sadoun Badji Mokhtar-Annaba University, Algeria
  • Mohamed Riad Remita National School of Artificial Intelligence, Algiers, Algeria
Keywords: Credibility Premium, Dependence Structure, Quantile Credibility, Orthogonal Projection, Heterogeneity, Insurance Risks

Abstract

In traditional quantile credibility models, it is typically assumed that claims are independent across different risks. Nevertheless, there are numerous scenarios where dependencies among insured individuals can emerge, thereby breaching the independence assumption. This study focuses on examining the quantile credibility model and extending some established results within the context of an equal correlation structure among risks. Specifically, we compute the credibility premiums for both homogeneous and inhomogeneous cases utilizing the orthogonal projection method.

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Published
2024-07-22
How to Cite
Arafa, G., Metiri, F., Sadoun, A., & Remita, M. R. (2024). On Quantile Credibility Estimators Under An Equal Correlation Structure Over Risks. Statistics, Optimization & Information Computing, 12(5), 1325-1341. https://doi.org/10.19139/soic-2310-5070-2004
Section
Research Articles