Guessing probability distributions from small samples

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autor(en): Pöschel T, Ebeling W, Rose H
Zeitschrift: Journal of Statistical Physics
Verlag: Springer Verlag (Germany)
Jahr der Veröffentlichung: 1995
Band: 80
Seitenbereich: 1443-1452
ISSN: 0022-4715
Sprache: Englisch


Abstract


We propose a new method for the calculation of the statistical properties, e.g., the entropy, of unknown generators of symbolic sequences. The probability distribution p(k) of the elements k of a population can be approximated by the frequencies f(k) of a sample provided the sample is long enough so that each element k occurs many times. Our method yields an approximation if this precondition does not hold. For a given f(k) we recalculate the Zipf-ordered probability distribution by optimization of the parameters of a guessed distribution. We demonstrate that our method yields reliable results. © 1995 Plenum Publishing Corporation.



FAU-Autoren / FAU-Herausgeber

Pöschel, Thorsten Prof. Dr.
Lehrstuhl für Multiscale Simulation of Particulate Systems


Autor(en) der externen Einrichtung(en)
Charité - Universitätsmedizin Berlin
Humboldt-Universität zu Berlin


Zitierweisen

APA:
Pöschel, T., Ebeling, W., & Rose, H. (1995). Guessing probability distributions from small samples. Journal of Statistical Physics, 80, 1443-1452. https://dx.doi.org/10.1007/BF02179880

MLA:
Pöschel, Thorsten, Werner Ebeling, and Helge Rose. "Guessing probability distributions from small samples." Journal of Statistical Physics 80 (1995): 1443-1452.

BibTeX: 

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