An extension of the Plancherel measure
Statistics Theory
2018-05-18 v1 Statistics Theory
Abstract
Given a distribution in the unite square and having iid sample from it the first question what a statistician might do to test the hypothesis that the sample is iid. For this purpose an extension of the Plancherel measure is introduced. Recent literature on asymptotic behavior of Plancherel measure is discussed with extension to the new set up. Models for random permutations are described and the power of different tests is compared.
Keywords
Cite
@article{arxiv.1805.06833,
title = {An extension of the Plancherel measure},
author = {Miklós Arató and Villö Csiszár and Balázs Gerencsér and György Michaletzky and Lídia Rejtö and Gábor Székely and Gábor Tusnády and Katalin Varga},
journal= {arXiv preprint arXiv:1805.06833},
year = {2018}
}
Comments
10 pages + 13pages of figures, figures are contained in 3 pdf files, the first one contains the 11 pages of Figure 1