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Inductive randomness predictors

Main:22 Pages
7 Figures
Bibliography:1 Pages
9 Tables
Appendix:7 Pages
Abstract

This paper introduces inductive randomness predictors, which form a superset of inductive conformal predictors. Its focus is on a very simple special case, binary inductive randomness predictors. It is interesting that binary inductive randomness predictors have an advantage over inductive conformal predictors, although they also have a serious disadvantage. This advantage will allow us to reach the surprising conclusion that non-trivial inductive conformal predictors are inadmissible in the sense of statistical decision theory.

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@article{vovk2025_2503.02803,
  title={ Inductive randomness predictors: beyond conformal },
  author={ Vladimir Vovk },
  journal={arXiv preprint arXiv:2503.02803},
  year={ 2025 }
}
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