GEMAct: a Python package for non-life (re)insurance modeling
Authors: Gabriele Pittarello, Edoardo Luini, Manfred Marvin Marchione
AI-generated Key Points
- "GEMAct" is a Python package for actuarial modeling based on the collective risk model
- The library supports various applications such as costing and risk transfers, risks aggregation, and claims reserving
- New probability distributions have been added to those available in scipy, including the (a,b,0) and (a,b,1) discrete distributions as well as Archimedean and Elliptical classes of copulas
- GEMAct has a software implementation of the AEP algorithm which allows users to calculate cumulative distribution functions of dependent non-negative random variables given their dependency structure specified with a copula
- The theoretical framework underlying these actuarial models is introduced at the beginning of each section to provide readers with sufficient understanding.
- Overall, this paper presents an important contribution to actuarial modeling by providing a comprehensive library that supports various applications in non-life insurance modeling.
Abstract: This paper introduces gemact, a Python package for actuarial modeling based on the collective risk model. The library supports applications to costing and risk transfers, risks aggregation, and claims reserving. We add new probability distributions to those available in scipy, including the (a,b,0) and (a,b,1) discrete distributions, the Archimedean and the Elliptical classes of copulas. We provide a software implementation of the AEP algorithm for calculating the cumulative distribution function of the sum of dependent, non-negative random variables, given their dependency structure specified with a copula. The theoretical framework is introduced in brief at the beginning of each section to provide the reader with a sufficient understanding of the underlying actuarial models.
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