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Auto-Calibration Tests for Discrete Finite Regression Functions

Statistics Theory 2024-08-13 v1 Statistics Theory

Abstract

Auto-calibration is an important property of regression functions for actuarial applications. Comparably little is known about statistical testing of auto-calibration. Denuit et al.~(2024) recently published a test with an asymptotic distribution that is not fully explicit and its evaluation needs non-parametric Monte Carlo sampling. In a simpler set-up, we present three test statistics with fully known and interpretable asymptotic distributions.

Keywords

Cite

@article{arxiv.2408.05993,
  title  = {Auto-Calibration Tests for Discrete Finite Regression Functions},
  author = {Mario V. Wüthrich},
  journal= {arXiv preprint arXiv:2408.05993},
  year   = {2024}
}
R2 v1 2026-06-28T18:10:11.782Z