ON SOME MODES OF POPULATION GROWTH LEADING TO FISHER,R.A. LOGARITHMIC SERIES DISTRIBUTION
成果类型：
Article
署名作者：
KENDALL, DG
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.2307/2332624
发表日期：
1948
页码：
615
关键词：
摘要：
Fisher''s logarithmic series, developed as a limiting case of the negative binomial distr. for small intrinsic probabilities, has been used successfully in graduating data of a great var. of biological problems. The apparently basic nature of the distr. suggests the attempt to provide a theoretical interpretation. A stochastic process is defined, specifying birth and death rates and a constant rate of immigration. General solns. are obtained and 3 special cases are considered. In each case, the soln. is either a negative binomial or a Fisher logarithmic series distr.
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