Measurement of Diversity and Dissimilarity for Stochastic Populations
作者:
S. R. Adke,
M. V. Ratnaparkhi,
期刊:
Biometrical Journal
(WILEY Available online 1997)
卷期:
Volume 39,
issue 1
页码: 69-84
ISSN:0323-3847
年代: 1997
DOI:10.1002/bimj.4710390108
出版商: WILEY‐VCH Verlag
关键词: Diversity and dissimilarity coefficients;Finite Markov chain;Spectral analysis
数据来源: WILEY
摘要:
AbstractThe existing measures of diversity within a population and of dissimilarity between two populations postulate a static population with unchanging probabilistic structure. We assume that the measurements associated with an individual change with time according to a stochastic process. General measures of diversity and of dissimilarity when the underlying process is a finite Markov chain are developed. An aportionment of these measures based on a partition of the state‐space is provided. Their asymptotic behaviour is investigated. The spectral analysis of measures of diversity is carried out. Some specific measures of diversity and dissimilarity are obtained when the underlying stochastic process is a general vector‐valued process. An indication of directions for future work is provi
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