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Title: | Linking diversity and disparity measures |
Authors: | Sarkar, Sahadeb Basu, Ayanendranath |
Keywords: | Divergence Hellinger distance Negative exponential disparity Residual adjustment function Species rarity |
Issue Date: | 2012 |
Publisher: | SCOPUS Pakistan Journal of Statistics and Operation Research University of the Punjab |
Series/Report no.: | 8(3) |
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. |
Description: | 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 ISSN/ISBN - 18162711 pp.491-506 DOI - 10.18187/pjsor.v8i3.521 |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84867074981&doi=10.18187%2fpjsor.v8i3.521&partnerID=40&md5=e67970aab94647c6407cf6140b379a5c https://ir.iimcal.ac.in:8443/jspui/handle/123456789/1233 |
Appears in Collections: | Operations Management |
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