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On the maximal correlation coefficient for the bivariate Marshall Olkin distribution

Statistics Theory 2024-09-18 v2 Statistics Theory

Abstract

We prove a formula for the maximal correlation coefficient of the bivariate Marshall Olkin distribution that was conjectured in Lin, Lai, and Govindaraju (2016, Stat. Methodol., 29:1-9). The formula is applied to obtain a new proof for a variance inequality in extreme value statistics that links the disjoint and the sliding block maxima method.

Cite

@article{arxiv.2409.08661,
  title  = {On the maximal correlation coefficient for the bivariate Marshall Olkin distribution},
  author = {Axel Bücher and Torben Staud},
  journal= {arXiv preprint arXiv:2409.08661},
  year   = {2024}
}

Comments

5 pages

R2 v1 2026-06-28T18:43:27.677Z