The Ubiquitous Ewens Sampling Formula | Zendy

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The Ubiquitous Ewens Sampling Formula

Author(s) -

Harry Crane

Publication year - 2016

Publication title -

statistical science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.204

H-Index - 108

eISSN - 2168-8745

pISSN - 0883-4237

DOI - 10.1214/15-sts529

Subject(s) - statistical inference , bayesian probability , probability theory , harmony (color) , sampling (signal processing) , bayesian inference , inference , evolutionary theory , sampling theory , mathematical economics , computer science , epistemology , mathematics , artificial intelligence , statistics , philosophy , sample size determination , filter (signal processing) , computer vision , art , visual arts

Ewens’s sampling formula exemplifies the harmony of mathematical theory, statistical application, and scientific discovery. The formula not only contributes to the foundations of evolutionary molecular genetics, the neutral theory of biodiversity, Bayesian nonparametrics, combinatorial stochastic processes, and inductive inference but also emerges from fundamental concepts in probability theory, algebra, and number theory. With an emphasis on its far-reaching influence throughout statistics and probability, we highlight these and many other consequences of Ewens’s seminal discovery.

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