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A simple relation between the Leimkuhler curve and the mean residual life

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  • Balakrishnan, N.
  • Sarabia, José María
  • Kolev, Nikolai

Abstract

In this paper, a simple relation between the Leimkuhler curve and the mean residual life is established. The result is illustrated with several models commonly used in informetrics, such as exponential, Pareto and lognormal. Finally, relationships with some other reliability concepts are also presented.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:infome:v:4:y:2010:i:4:p:602-607
    DOI: 10.1016/j.joi.2010.06.009
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    References listed on IDEAS

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    1. L. Egghe, 2005. "Zipfian and Lotkaian continuous concentration theory," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 56(9), pages 935-945, July.
    2. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    3. Quentin L. Burrell, 2006. "Measuring concentration within and co-concentration between informetric distributions: An empirical study," Scientometrics, Springer;Akadémiai Kiadó, vol. 68(3), pages 441-456, September.
    4. Waltman, L. & van Eck, N.J.P., 2009. "Some Comments on Egghe’s Derivation of the Impact Factor Distribution," ERIM Report Series Research in Management ERS-2009-016-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    5. Sarabia, José María, 2008. "A general definition of the Leimkuhler curve," Journal of Informetrics, Elsevier, vol. 2(2), pages 156-163.
    6. Burrell, Quentin L., 2007. "Hirsch's h-index: A stochastic model," Journal of Informetrics, Elsevier, vol. 1(1), pages 16-25.
    7. Quentin L. Burrell, 2002. "Modelling citation age data: Simple graphical methods from reliability theory," Scientometrics, Springer;Akadémiai Kiadó, vol. 55(2), pages 273-285, August.
    8. Egghe, L., 2009. "Mathematical derivation of the impact factor distribution," Journal of Informetrics, Elsevier, vol. 3(4), pages 290-295.
    9. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    10. Waltman, Ludo & van Eck, Nees Jan, 2009. "Some comments on Egghe's derivation of the impact factor distribution," Journal of Informetrics, Elsevier, vol. 3(4), pages 363-366.
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    Cited by:

    1. Unnikrishnan Nair, N. & Vineshkumar, B., 2022. "Modelling informetric data using quantile functions," Journal of Informetrics, Elsevier, vol. 16(2).
    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. Bertoli-Barsotti, Lucio & Gagolewski, Marek & Siudem, Grzegorz & Żogała-Siudem, Barbara, 2024. "Gini-stable Lorenz curves and their relation to the generalised Pareto distribution," Journal of Informetrics, Elsevier, vol. 18(2).
    4. 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.

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