Correction algorithm for finite sample statistics

Pöschel T, Ebeling W, Frömmel C, Ramirez R (2003)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2003

Journal

European Physical Journal E EDP Sciences: EPJ

Publisher: EDP Sciences: EPJ

Book Volume: 12

Pages Range: 531-541

Journal Issue: 4

DOI: 10.1140/epje/e2004-00025-4

Abstract

Assume in a sample of size M one finds M representatives of species i with i = 1 ⋯ N*. The normalized frequency p* ≡ M/M, based on the finite sample, may deviate considerably from the true probabilities p. We propose a method to infer rank-ordered true probabilities r from measured frequencies M. We show that the rank-ordered probabilities provide important informations on the system, e.g., the true number of species, the Shannon- and the Renyi-entropies. © EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2004.

Authors with CRIS profile

Thorsten Pöschel Lehrstuhl für Multiscale Simulation of Particulate Systems

Involved external institutions

Charité - Universitätsmedizin Berlin DE Germany (DE) École normale supérieure de Lyon (ENS) FR France (FR)

How to cite

APA:

Pöschel, T., Ebeling, W., Frömmel, C., & Ramirez, R. (2003). Correction algorithm for finite sample statistics. European Physical Journal E, 12(4), 531-541. https://doi.org/10.1140/epje/e2004-00025-4

MLA:

Pöschel, Thorsten, et al. "Correction algorithm for finite sample statistics." European Physical Journal E 12.4 (2003): 531-541.

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