dorsal/arxiv
View SchemaCorrection algorithm for finite sample statistics
| Authors | Thorsten Poeschel, Werner Ebeling, Cornelius Froemmel, Rosa Ramirez |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0401040 |
| URL | https://arxiv.org/abs/q-bio/0401040 |
| Journal | Eur. Phys. J. E, Vol. 12, 531-541 (2003). |
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.
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"abstract": "Assume in a sample of size M one finds M_i representatives of species i with\ni=1...N^*. The normalized frequency p^*_i=M_i/M, based on the finite sample,\nmay deviate considerably from the true probabilities p_i. We propose a method\nto infer rank-ordered true probabilities r_i from measured frequencies M_i. We\nshow that the rank-ordered probabilities provide important informations on the\nsystem, e.g., the true number of species, the Shannon- and the Renyi-entropies.",
"arxiv_id": "q-bio/0401040",
"authors": [
"Thorsten Poeschel",
"Werner Ebeling",
"Cornelius Froemmel",
"Rosa Ramirez"
],
"categories": [
"q-bio.OT",
"cond-mat.stat-mech"
],
"journal_ref": "Eur. Phys. J. E, Vol. 12, 531-541 (2003).",
"title": "Correction algorithm for finite sample statistics",
"url": "https://arxiv.org/abs/q-bio/0401040"
},
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