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A general definition of the Leimkuhler curve

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  • Sarabia, José María

Abstract

In this paper, we provide a general definition of the Leimkuhler curve in terms of the theoretical cumulative distribution function. The definition applies to discrete, continuous and mixed random variables. Several examples are given to illustrate the use of the formula.

Suggested Citation

  • Sarabia, José María, 2008. "A general definition of the Leimkuhler curve," Journal of Informetrics, Elsevier, vol. 2(2), pages 156-163.
  • Handle: RePEc:eee:infome:v:2:y:2008:i:2:p:156-163
    DOI: 10.1016/j.joi.2008.01.002
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    References listed on IDEAS

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    1. Sarabia, J. -M. & Castillo, Enrique & Slottje, Daniel J., 1999. "An ordered family of Lorenz curves," Journal of Econometrics, Elsevier, vol. 91(1), pages 43-60, July.
    2. Lafouge, Thierry, 2007. "The source-item coverage of the exponential function," Journal of Informetrics, Elsevier, vol. 1(1), pages 59-67.
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    7. Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-970, September.
    8. José María Sarabia, 2008. "Parametric Lorenz Curves: Models and Applications," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 9, pages 167-190, Springer.
    9. Jose-Mari Sarabia, 1997. "A hierarchy of lorenz curves based on the generalized tukey's lambda distribution," Econometric Reviews, Taylor & Francis Journals, vol. 16(3), pages 305-320.
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    Citations

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    Cited by:

    1. Koen Decancq, 2020. "Measuring cumulative deprivation and affluence based on the diagonal dependence diagram," METRON, Springer;Sapienza Università di Roma, vol. 78(2), pages 103-117, August.
    2. Lucio Bertoli-Barsotti & Marek Gagolewski & Grzegorz Siudem & Barbara .Zoga{l}a-Siudem, 2023. "Gini-stable Lorenz curves and their relation to the generalised Pareto distribution," Papers 2304.07480, arXiv.org, revised Jan 2024.
    3. Unnikrishnan Nair, N. & Vineshkumar, B., 2022. "Modelling informetric data using quantile functions," Journal of Informetrics, Elsevier, vol. 16(2).
    4. Balakrishnan, N. & Sarabia, José María & Kolev, Nikolai, 2010. "A simple relation between the Leimkuhler curve and the mean residual life," Journal of Informetrics, Elsevier, vol. 4(4), pages 602-607.
    5. Chi, Pei-Shan, 2016. "Differing disciplinary citation concentration patterns of book and journal literature?," Journal of Informetrics, Elsevier, vol. 10(3), pages 814-829.
    6. Nozer Singpurwalla & Anna Gordon, 2014. "Auditing Shaked and Shanthikumar’s ‘excess wealth’," Annals of Operations Research, Springer, vol. 212(1), pages 3-19, January.
    7. Sarabia, José María & Prieto, Faustino & Trueba, Carmen, 2012. "Modeling the probabilistic distribution of the impact factor," Journal of Informetrics, Elsevier, vol. 6(1), pages 66-79.
    8. N. Nair & P. Sankaran & S. Sunoj, 2013. "Quantile based stop-loss transform and its applications," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 22(2), pages 167-182, June.
    9. Sarabia, José María & Gómez-Déniz, Emilio & Sarabia, María & Prieto, Faustino, 2010. "A general method for generating parametric Lorenz and Leimkuhler curves," Journal of Informetrics, Elsevier, vol. 4(4), pages 524-539.

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