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Multivariate Leimkuhler Curve: Properties and Applications to Analysis of Bibliometric Data

Author

Listed:
  • Shifna P. R.

    (Cochin University of Science and Technology)

  • N. Unnikrishnan Nair

    (Cochin University of Science and Technology)

  • S. M. Sunoj

    (Cochin University of Science and Technology)

Abstract

The Leimkuhler curve has established itself as an efficient tool in the analysis and comparison of concentration of bibliometric measures of productivity from different sources. Inspite of a considerable volume of literature emerging on multivariate analysis of informetric data, a multivariate version of the Leimkuhler curve does not appear to have been considered so far. In the present work we propose a multivariate Leimkuhler curve and study some of its properties. The use of our results is illustrated by analyzing multivariate informetric data.

Suggested Citation

  • Shifna P. R. & N. Unnikrishnan Nair & S. M. Sunoj, 2024. "Multivariate Leimkuhler Curve: Properties and Applications to Analysis of Bibliometric Data," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(2), pages 999-1024, August.
    • Handle: RePEc:spr:sankha:v:86:y:2024:i:2:d:10.1007_s13171-024-00363-9
    DOI: 10.1007/s13171-024-00363-9
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    References listed on IDEAS

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    1. Unnikrishnan Nair, N. & Vineshkumar, B., 2022. "Modelling informetric data using quantile functions," Journal of Informetrics, Elsevier, vol. 16(2).
    2. Martha Flores‐Sosa & Ezequiel Avilés‐Ochoa & José M. Merigó, 2022. "Exchange rate and volatility: A bibliometric review," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(1), pages 1419-1442, January.
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    6. Hassan Ali, 2022. "A systematic bibliometric analysis of the analytic hierarchy process from 1980 to 2020," International Journal of Bibliometrics in Business and Management, Inderscience Enterprises Ltd, vol. 2(2), pages 148-169.
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    8. Sarabia, José María, 2008. "A general definition of the Leimkuhler curve," Journal of Informetrics, Elsevier, vol. 2(2), pages 156-163.
    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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