Correction algorithm for finite sample statistics
Other Quantitative Biology
2007-05-23 v1 Statistical Mechanics
Abstract
Assume 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.
Cite
@article{arxiv.q-bio/0401040,
title = {Correction algorithm for finite sample statistics},
author = {Thorsten Poeschel and Werner Ebeling and Cornelius Froemmel and Rosa Ramirez},
journal= {arXiv preprint arXiv:q-bio/0401040},
year = {2007}
}
Comments
11 pages, 9 figures