Finite-sample frequency distributions originating from an equiprobability distribution

Thorsten Pöschel and Jan A. Freund
Phys. Rev. E 66, 026103 – Published 9 August 2002
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Abstract

Given an equidistribution for probabilities p(i)=1/N,i=1,…,N. What is the expected corresponding rank ordered frequency distribution f(i),i=1,…,N, if an ensemble of M events is drawn?

  • Received 27 November 2001

DOI:https://doi.org/10.1103/PhysRevE.66.026103

©2002 American Physical Society

Authors & Affiliations

Thorsten Pöschel*

  • Humboldt-Universität zu Berlin, Charité, Institut für Biochemie, Monbijoustraße 2, Berlin D-10117, Germany

Jan A. Freund†

  • Humboldt-Universität zu Berlin, Institut für Physik, Invalidenstraße 110, Berlin D-10115, Germany

  • *Email address: thorsten.poeschel@charite.de URL: summa. physik.hu-berlin.de/∼kies
  • †Email address: freund@physik.hu-berlin.de URL: summa. physik.hu-berlin.de/∼janf

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Vol. 66, Iss. 2 — August 2002

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