期刊
STATISTICAL SCIENCE
卷 31, 期 1, 页码 1-19出版社
INST MATHEMATICAL STATISTICS
DOI: 10.1214/15-STS529
关键词
Ewens's sampling formula; Poisson-Dirichlet distribution; random partition; coalescent process; inductive inference exchangeability; logarithmic combinatorial structures; Chinese restaurant process; Ewens-Pitman distribution; Dirichlet process; stick breaking; permanental partition model; cyclic product distribution; clustering; Bayesian nonparametrics; alpha-permanent
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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