The Enigma behind the Good–Turing formula

Oberwolfach'tan

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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Matematiksel konular

Olasılık Kuramı ve İstatistik

Diğer alanlarla ilişkiler

Yaşam Bilimleri

Yazar(lar)

Fadoua Balabdaoui, Yulia Kulagina

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2021-008-EN

PDF indir

snapshot-2021-008.pdf

PDF

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Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
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Fizik
Matematik Üzerine Düşünceler

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