IDEAS home Printed from https://ideas.repec.org/a/spr/metron/v70y2012i2p173-191.html

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF03321974
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF03321974?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zaman, Qamar uz & Zhao, Yuhuan & Zaman, Shah & Alenezi, Marim & Jehan, Noor, 2023. "Spatial evaluation of multidimensional energy poverty between farming and non-farming communities of agro-climatic zones of Pakistan," Energy Policy, Elsevier, vol. 172(C).
    2. Uche M. Ozughalu & Fidelis O. Ogwumike, 2019. "Extreme Energy Poverty Incidence and Determinants in Nigeria: A Multidimensional Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 142(3), pages 997-1014, April.
    3. Ye, Yuxiang & Koch, Steven F., 2021. "Measuring energy poverty in South Africa based on household required energy consumption," Energy Economics, Elsevier, vol. 103(C).
    4. Grazini, Chiara, 2025. "Analysis of the multidimensional energy poverty in Italy using the partially ordered set," Ecological Economics, Elsevier, vol. 236(C).
    5. Bezerra, Paula & Cruz, Talita & Mazzone, Antonella & Lucena, André F.P. & De Cian, Enrica & Schaeffer, Roberto, 2022. "The multidimensionality of energy poverty in Brazil: A historical analysis," Energy Policy, Elsevier, vol. 171(C).
    6. Chakravarty, Satya R. & Deutsch, Joseph & Silber, Jacques, 2008. "On the Watts Multidimensional Poverty Index and its Decomposition," World Development, Elsevier, vol. 36(6), pages 1067-1077, June.
    7. Borooah, Vani, 2007. "Measuring economic inequality: deprivation, economising and possessing," MPRA Paper 19422, University Library of Munich, Germany.
    8. Charles Condevaux & Stéphane Mussard & Téa Ouraga & Guillaume Zambrano, 2020. "Generalized Gini linear and quadratic discriminant analyses," METRON, Springer;Sapienza Università di Roma, vol. 78(2), pages 219-236, August.
    9. Hendrik Thiel & Stephan L. Thomsen, 2015. "Individual Poverty Paths and the Stability of Control-Perception," SOEPpapers on Multidisciplinary Panel Data Research 794, DIW Berlin, The German Socio-Economic Panel (SOEP).
    10. Aristondo, Oihana & Onaindia, Eneritz, 2018. "Inequality of energy poverty between groups in Spain," Energy, Elsevier, vol. 153(C), pages 431-442.
    11. Belhadj, Besma & Limam, Mohamed, 2012. "Unidimensional and multidimensional fuzzy poverty measures: New approach," Economic Modelling, Elsevier, vol. 29(4), pages 995-1002.
    12. repec:pru:wpaper:8 is not listed on IDEAS
    13. Lisa Hoeschle & Shuang Liu & Xiaohua Yu, 2025. "Let the Poor Talk About “Poverty”: Revisiting Poverty Alleviation in Rural China With Machine Learning," Poverty & Public Policy, John Wiley & Sons, vol. 17(2), June.
    14. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    15. Temple, Jonathan & Ying, Huikang, 2014. "Life During Structural Transformation," CEPR Discussion Papers 10297, Centre for Economic Policy Research.
    16. Maki Michinaka & Takahiro Ito, 2010. "Multidimensional Poverty Rankings based on Pareto Principle: A Practical Extension," Global COE Hi-Stat Discussion Paper Series gd10-139, Institute of Economic Research, Hitotsubashi University.
    17. Du Hongyu, 2025. "Advantages of regional development—A study on poverty alleviation in contiguous destitute areas," International Studies of Economics, John Wiley & Sons, vol. 20(3), pages 344-370, September.
    18. Ravallion, Martin & Chen, Shaohua, 2003. "Measuring pro-poor growth," Economics Letters, Elsevier, vol. 78(1), pages 93-99, January.
    19. Shishir Roy, 2024. "Gender gap in poverty biased by caste in India: an empirical analysis," Journal of Social and Economic Development, Springer;Institute for Social and Economic Change, vol. 26(3), pages 759-797, December.
    20. Chattopadhyay, Amit K. & Mallick, Sushanta K., 2007. "Income distribution dependence of poverty measure: A theoretical analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 241-252.
    21. Constantine Angyridis & Brennan Scott Thompson, 2016. "Negative income taxes, inequality and poverty," Canadian Journal of Economics, Canadian Economics Association, vol. 49(3), pages 1016-1034, August.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:metron:v:70:y:2012:i:2:p:173-191. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.