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Empirical interpretation of the Pitman efficiency

Statistics Theory 2026-04-14 v1 Statistics Theory

Abstract

We study an empirical interpretation of the Pitman efficiency in testing for uniformity in the two-parametric family of the beta distributions. We show that for contamination models the Pitman efficiency approximates relative efficiency very well.

Cite

@article{arxiv.2604.11127,
  title  = {Empirical interpretation of the Pitman efficiency},
  author = {Tadeusz Inglot},
  journal= {arXiv preprint arXiv:2604.11127},
  year   = {2026}
}
R2 v1 2026-07-01T12:05:49.589Z