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Updated: Aug 1, 2026

Sample Drift Correction Following 4D Confocal Time-lapse Imaging
Published on: April 13, 2014
Correction algorithm for finite sample statistics
T Pöschel1, W Ebeling, C Frömmel
1Humboldt Universität zu Berlin, Charité, Institut für Biochemie, Monbijoustrasse 2, 10117, Berlin, Germany. thorsten.poeschel@charite.de
Abstract:
Assume in a sample of size M one finds M(i) representatives of species i with i = 1..N*. The normalized frequency pi* triple bond Mi/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.
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