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Yule Process

  1. Chin Long Chiang

Published Online: 15 JUL 2005

DOI: 10.1002/0470011815.b2a07059

Encyclopedia of Biostatistics

Encyclopedia of Biostatistics

How to Cite

Chiang, C. L. 2005. Yule Process. Encyclopedia of Biostatistics. 8.

Author Information

  1. University of California, Berkeley, CA, USA

Publication History

  1. Published Online: 15 JUL 2005

Abstract

The Yule process is a birth process with a constant birth rate. The number of births in time interval (0, t), Y(t), has a negative binomial distribution, which is the same as the distribution of the number of new species of a genus produced during (0, t) in Yule's study of evolution.

The numbers of species produced in a sequence of time intervals, Y(1), …, Y(r), have a chain of negative binomial distributions.

Keywords:

  • negative binomial;
  • mathematical study of evolution