Correction algorithm for finite sample statistics.
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.
Humboldt Universität zu Berlin, Charité, Institut für Biochemie, Monbijoustrasse 2, 10117, Berlin, Germany. thorsten.poeschel@charite.de
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T
Pöschel
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W
Ebeling
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C
Frömmel
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R
Ramírez
D000465:Algorithms; D003627:Data Interpretation, Statistical; D015233:Models, Statistical; D009716:Numerical Analysis, Computer-Assisted; D011786:Quality Control; D015203:Reproducibility of Results; D018401:Sample Size; D012680:Sensitivity and Specificity; D013269:Stochastic Processes