Skip to content
DraconiticResearch
Search Sources API
182,544 studies31 sourcesUpdated 51 min ago
PreprintCC BY 4.0arXiv

A Practical Guide on Graphical Model Validation

Abstract

This manuscript formalizes the most popular model validation tools used in general insurance actuarial modeling. These include graphical tools like calibration plots, actual-vs-expected plots, lift charts, Murphy diagrams, as well as classical statistical tools such as Bregman losses, deviance losses, elementary losses, Murphy's decomposition and Gini scores. Particular emphasis is placed on whether calibration and discrimination are studied under a policy-weighted or an exposure-weighted population measure. This distinction is crucial in ensuring that premium schemes are calibrated on the correct scale.

Related

  1. Interpreting P values in clinical research: A practical guide for clinicians
    Alp Şener
    Turkish Journal of Emergency MedicinePeer-reviewedCC BY-NC-SA 4.0Full textStatisticsPMC
  2. Learning extremal graphical structures in high dimensions
    Sebastian Engelke, Michaël Lalancette, Stanislav Volgushev A
    The Annals of StatisticsPeer-reviewedLicence not statedFull text5 citedStatisticsOpenAlex
  3. A graphical approach to integration and the fundamental theorem
    David O. Tall
    Warwick Research Archive Portal (University of Warwick)Peer-reviewedLicence not statedFull text44 citedGeneral mathematicsOpenAlex
  4. Degree of the Gaussian graphical model of the cycle
    Rodica Andreea Dinu, Mateusz Michałek, Martin Vodička
    Forum of Mathematics, SigmaPeer-reviewedCC BY 4.0Full textGeneral mathematicsCrossref
  5. Interior curvature estimates for graphical curvature quotient equations
    Fei Han, Yan Ma
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
BibTeX
@misc{wuthrich2026practical,
  title = {{A Practical Guide on Graphical Model Validation}},
  author = {Mario V. Wüthrich},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.26445},
  eprint = {2609.26445},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26445},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Practical Guide on Graphical Model Validation
AU  - Mario V. Wüthrich
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.26445
UR  - https://arxiv.org/abs/2609.26445
AB  - This manuscript formalizes the most popular model validation tools used in general insurance actuarial modeling. These include graphical tools like calibration plots, actual-vs-expected plots, lift charts, Murphy diagrams, as well as classical statistical tools such as Bregman losses, deviance losses, elementary losses, Murphy's decomposition and Gini scores. Particular emphasis is placed on whether calibration and discrimination are studied under a policy-weighted or an exposure-weighted population measure. This distinction is crucial in ensuring that premium schemes are calibrated on the correct scale.
ER  -