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Modelling informetric data using quantile functions

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  • Unnikrishnan Nair, N.
  • Vineshkumar, B.

Abstract

In the present work, we propose some transformations of quantile functions in informetry. We derive some new properties of Leimkuhler curves using quantile functions. Several quantile function models are presented along with the measures useful in informetrics. Applications of quantile functions in modelling and analysis of bibliometric data are also discussed with the aid of real data sets.

Suggested Citation

  • Unnikrishnan Nair, N. & Vineshkumar, B., 2022. "Modelling informetric data using quantile functions," Journal of Informetrics, Elsevier, vol. 16(2).
    • Handle: RePEc:eee:infome:v:16:y:2022:i:2:s1751157722000189
    DOI: 10.1016/j.joi.2022.101266
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    References listed on IDEAS

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    1. Burrell, Quentin L., 2007. "Hirsch's h-index: A stochastic model," Journal of Informetrics, Elsevier, vol. 1(1), pages 16-25.
    2. Michal Brzezinski, 2015. "Power laws in citation distributions: evidence from Scopus," Scientometrics, Springer;Akadémiai Kiadó, vol. 103(1), pages 213-228, April.
    3. Thelwall, Mike & Wilson, Paul, 2014. "Distributions for cited articles from individual subjects and years," Journal of Informetrics, Elsevier, vol. 8(4), pages 824-839.
    4. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    5. 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.
    6. Sarabia, José María, 2008. "A general definition of the Leimkuhler curve," Journal of Informetrics, Elsevier, vol. 2(2), pages 156-163.
    7. Haritha N. Haridas & N. Unnikrishnan Nair & K.R. Muraleedharan Nair, 2008. "Modelling Income Using the Generalised Lambda Distribution," Journal of Income Distribution, Ad libros publications inc., vol. 17(2), pages 37-51, June.
    8. 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.
    9. 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.
    10. 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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