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The Enigma behind the Good–Turing formula
Instantanés de recherche mathématique à Oberwolfach
The Enigma behind the Good–Turing formula
Finding the total number of species in a population based on a finite sample is a difficult but practically important problem. In this snapshot, we will attempt to shed light on how during World War II, two cryptanalysts, Irving J. Good and Alan M. Turing, discovered one of the most widely applied formulas in statistics. The formula estimates the probability of missing some of the species in a sample drawn from a heterogeneous population. We will provide some intuition behind the formula, show its wide range of applications, and give a few technical details.
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Sujet mathématique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/probability-03.png?itok=3JwXiTOH)
Théorie des probabilités et statistique
Liens avec d'autres domaines
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Sciences de la vie
Licence
DOI
10.14760/SNAP-2021-008-EN
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snapshots: overview
Sujet mathématique
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Algèbre et théorie des nombres
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Analyse
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Pédagogie et éducation
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Mathématiques discrètes et fondements des mathématiques
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Géométrie et Topologie
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Calcul numérique et calcul scientifique
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Théorie des probabilités et statistique
Liens avec d'autres domaines
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Chimie et sciences de la terre
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Informatique
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Ingénierie et technologie
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Finances
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Humanités et sciences sociales
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Sciences de la vie
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Physique
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Pensées mathématiques