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Bounding the Gini Mean Difference

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Inequalities and Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 157))

Abstract

Some recent results on bounding and approximating the Gini mean difference in which the author was involved for both general distributions and distributions supported on a finite interval are surveyed. The paper supplements the previous work utilising the Steffensen and Karamata type approaches in approximating and bounding the Gini mean difference.

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Author information

Authors and Affiliations

  1. School of Computer Science and Mathematics, Victoria University, PO Box 14428, MCMC 8001, VIC, Australia

    Pietro Cerone

Authors
  1. Pietro Cerone
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Editor information

Editors and Affiliations

  1. Institut Mathematik, Universität Basel, Rheinsprung 21, 4051, Basel, Switzerland

    Catherine Bandle

  2. Department Economic Analysis & Information Technology for Business, University of Debrecen, Kassai út.26, 4028, Debrecen, Hungary

    László Losonczi

  3. Department of Analysis Institute Mathematics & Informatics, University of Debrecen, Pf. 12, 4010, Debrecen, Hungary

    Attila Gilányi  & Zsolt Páles  & 

  4. Institut für Analysis, Universität Karlsruhe, Kaiserstrasse 12, 76128, Karlsruhe, Germany

    Michael Plum

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© 2008 Birkhäuser Verlag Basel/Switzerland

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Cerone, P. (2008). Bounding the Gini Mean Difference. In: Bandle, C., Losonczi, L., Gilányi, A., Páles, Z., Plum, M. (eds) Inequalities and Applications. International Series of Numerical Mathematics, vol 157. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-8773-0_8

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