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Linking Diversity and Disparity Measures

Pakistan Journal of Statistics and Operation Research

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Title Linking Diversity and Disparity Measures
Creator Sarkar, Sahadeb; Operations Management Group
Indian Institute of Management Calcutta
Post Box 16757, Calcutta 700 027, India
Basu, Ayanendranath; Bayesian and Interdisciplinary Research Unit
Indian Statistical Institute
203 B. T. Road, Calcutta 700 108, India
Subject Statistics
Divergence; Hellinger distance; Negative exponential disparity; Residual adjustment function; Species rarity

Description The purpose of this paper is to examine links between the diversity measures (Patil and Taillie 1982) and the disparity measures (Lindsay 1994), quantities apparently developed for somewhat different purposes. We demonstrate that numerous diversity measures satisfying all the desirable criteria mentioned by Patil and Taillie can be defined by the generating functions of certain disparities and the associated residual adjustment functions. This provides the statistician and the ecologist a wide class of flexible indices for the statistical measurement of diversity.
Publisher College of Statistical and Actuarial Sciences
Date 2012-07-01
Type info:eu-repo/semantics/article
Peer-reviewed Article
Format application/pdf
Source Pakistan Journal of Statistics and Operation Research; Vol 8. No. 3, 2012; 491-506
Language eng