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Characterization of distributions by properties of truncated Gini index and mean difference

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  • N. Nair
  • P. Sankaran
  • B. Vineshkumar

Abstract

The right truncated Gini index and mean difference are useful tools in the analysis of incomes and the left truncated versions of these functions can be employed in reliability modelling. In this paper we identify the distributions characterized by simple functional forms of these measures and also by relationships they have with poverty measures and reliability functions. Finally, we provide an application of proposed results in modelling statistical data. Copyright Sapienza Università di Roma 2012

Suggested Citation

  • N. Nair & P. Sankaran & B. Vineshkumar, 2012. "Characterization of distributions by properties of truncated Gini index and mean difference," METRON, Springer;Sapienza Università di Roma, vol. 70(2), pages 173-191, August.
    • Handle: RePEc:spr:metron:v:70:y:2012:i:2:p:173-191
    DOI: 10.1007/BF03321974
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    1. Claudio Borroni & Michele Zenga, 2007. "A test of concordance based on Gini’s mean difference," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 16(3), pages 289-308, November.
    2. Giannini Pereira, Marcio & Vasconcelos Freitas, Marcos Aurélio & da Silva, Neilton Fidelis, 2011. "The challenge of energy poverty: Brazilian case study," Energy Policy, Elsevier, vol. 39(1), pages 167-175, January.
    3. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    4. Shlomo Yitzhaki, 2003. "Gini’s Mean difference: a superior measure of variability for non-normal distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 285-316.
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    Cited by:

    1. P. Sankaran & Bijamma Thomas & N. Midhu, 2015. "On bilinear hazard quantile functions," METRON, Springer;Sapienza Università di Roma, vol. 73(1), pages 135-148, April.
    2. Zahra Behdani & Gholam Reza Mohtashami Borzadaran & Bahram Sadeghpour Gildeh, 2020. "Some properties of double truncated distributions and their application in view of income inequality," Computational Statistics, Springer, vol. 35(1), pages 359-378, March.

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