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Measurement of Diversity and Dissimilarity for Stochastic Populations

โœ Scribed by S. R. Adke; M. V. Ratnaparkhi

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
751 KB
Volume
39
Category
Article
ISSN
0323-3847

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โœฆ Synopsis

The existing measures of diversity withii 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 spcch'd 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 provided.

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