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

Abstract

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.

Citation

Download Citation

Harry Crane. "The Ubiquitous Ewens Sampling Formula." Statist. Sci. 31 (1) 1 - 19, February 2016. https://doi.org/10.1214/15-STS529

Information

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

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

Rights: Copyright © 2016 Institute of Mathematical Statistics

JOURNAL ARTICLE
19 PAGES


SHARE
Vol.31 • No. 1 • February 2016
Back to Top