Correction algorithm for finite sample statistics

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dc.creatorPoeschel, Thorsten
dc.creatorEbeling, Werner
dc.creatorFroemmel, Cornelius
dc.creatorRamirez, Rosa
dc.date2004-01-28
dc.date.accessioned2026-07-07T05:58:10Z
dc.date.available2026-07-07T05:58:10Z
dc.descriptionAssume in a sample of size M one finds M_i representatives of species i with i=1...N^*. The normalized frequency p^*_i=M_i/M, based on the finite sample, may deviate considerably from the true probabilities p_i. We propose a method to infer rank-ordered true probabilities r_i from measured frequencies M_i. 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.
dc.description11 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/q-bio/0401040
dc.identifierhttp://arxiv.org/abs/q-bio/0401040
dc.identifierEur. Phys. J. E, Vol. 12, 531-541 (2003).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88255
dc.subjectOther Quantitative Biology
dc.subjectStatistical Mechanics
dc.titleCorrection algorithm for finite sample statistics
dc.typetext

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