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On Inferring Income Inequality Measures Using L-moments

Author

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  • Sreelakshmi N.

    (Indian Statistical Institute, Chennai, India)

  • Asha G.
  • Muraleedharan Nair K. R.

    (Department of Statistics, Cochin University of Science and Technology, Cochin-22, India)

Abstract

L-moments are expectations of linear combinations of order statistics, their use in reliability analysis has been established. In the present paper we study L-moments in relation to income inequality measures. Models characterized by functional relationships between L-moments and income inequality measures are studied. Finally, we define the ordering based on L-moments and study its implications on other existing orderings.

Suggested Citation

  • Sreelakshmi N. & Asha G. & Muraleedharan Nair K. R., 2015. "On Inferring Income Inequality Measures Using L-moments," Stochastics and Quality Control, De Gruyter, vol. 30(2), pages 75-87, December.
  • Handle: RePEc:bpj:ecqcon:v:30:y:2015:i:2:p:75-87:n:2
    DOI: 10.1515/eqc-2015-0007
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    References listed on IDEAS

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    1. Unnikrishnan Nair, N. & Vineshkumar, B., 2011. "Ageing concepts: An approach based on quantile function," Statistics & Probability Letters, Elsevier, vol. 81(12), pages 2016-2025.
    2. Giovanni Maria Giorgi & Michele Crescenzi, 2001. "A proposal of poverty measures based on the Bonferroni inequality index," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 3-16.
    3. Pundir, Sudesh & Arora, Sangeeta & Jain, Kanchan, 2005. "Bonferroni Curve and the related statistical inference," Statistics & Probability Letters, Elsevier, vol. 75(2), pages 140-150, November.
    4. Mahesh Chandra & Nozer D. Singpurwalla, 1981. "Relationships Between Some Notions Which are Common to Reliability Theory and Economics," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 113-121, February.
    5. Xiaohu Li & Maochao Xu, 2008. "Reversed hazard rate order of equilibrium distributions and a related aging notion," Statistical Papers, Springer, vol. 49(4), pages 749-767, October.
    6. Giovanni Maria Giorgi & Michele Crescenzi, 2005. "A look at the Bonferroni inequality measure in a reliability framework," Econometrics 0507004, University Library of Munich, Germany.
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