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  • 标题:Linking Diversity and Disparity Measures
  • 本地全文:下载
  • 作者:Sahadeb Sarkar ; Ayanendranath Basu
  • 期刊名称:Pakistan Journal of Statistics and Operation Research
  • 印刷版ISSN:2220-5810
  • 出版年度:2012
  • 卷号:8
  • 期号:3
  • 页码:491-506
  • DOI:10.1234/pjsor.v8i3.521
  • 语种:English
  • 出版社:College of Statistical and Actuarial Sciences
  • 摘要:Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman","serif";} 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.
  • 关键词:Divergence;Hellinger distance;Negative exponential disparity;Residual adjustment function;Species rarity
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