Journal
STATISTICAL SCIENCE
Volume 31, Issue 1, Pages 1-19Publisher
INST MATHEMATICAL STATISTICS
DOI: 10.1214/15-STS529
Keywords
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
Categories
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
