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February 2016 The Ubiquitous Ewens Sampling Formula
Harry Crane
Statist. Sci. 31(1): 1-19 (February 2016). DOI: 10.1214/15-STS529


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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Harry Crane. "The Ubiquitous Ewens Sampling Formula." Statist. Sci. 31 (1) 1 - 19, February 2016.


Published: February 2016
First available in Project Euclid: 10 February 2016

zbMATH: 06946204
MathSciNet: MR3458585
Digital Object Identifier: 10.1214/15-STS529

Keywords: $\alpha$-permanent , Bayesian nonparametrics , Chinese restaurant process , clustering , Coalescent process , cyclic product distribution , Dirichlet process , Ewens’s sampling formula , Ewens–Pitman distribution , exchangeability , inductive inference , Logarithmic combinatorial structures , permanental partition model , Poisson–Dirichlet distribution , random partition , stick breaking

Rights: Copyright © 2016 Institute of Mathematical Statistics


Vol.31 • No. 1 • February 2016
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