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Linking diversity and disparity measures.

Author(s)
Sahadeb Sarkar Operations Management Group, Indian Institute of Management Calcutta, Post Box 16757, Calcutta 700 027, India
Ayanendranath Basu Bayesian and Interdisciplinary Research Unit, Indian Statistical Institute 203 B. T. Road, Calcutta 700 108, India
Abstract
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.
Publication Details
Page(s) 491-506
DOI DOI not available
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 8, Issue: 3, Year: 2012

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