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The use of the generalized Waring process in modelling informetric data

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  • Quentin L. Burrell

    (Isle of Man International Business School)

Abstract

Summary Although its use in informetrics dates back at least to 1987, data analysed in a recent paper by Shan et al. (2004) has rekindled interest in the generalized Waring distribution (GWD). The purpose of this note is to show that for many purposes, the distribution is best motivated via a familiar informetric scenario of a population of “sources” producing “items” over time leading to a stochastic process from which the univariate, bivariate and multivariate forms of the GWD are natural consequences. Earlier work and possible future applications are highlighted. Many of the results are due to Irwin and Xekalaki while much of the material on the Waring process has been previously available in an unpublished research report by the author (Burrell, 1991).

Suggested Citation

  • Quentin L. Burrell, 2005. "The use of the generalized Waring process in modelling informetric data," Scientometrics, Springer;Akadémiai Kiadó, vol. 64(3), pages 247-270, August.
    • Handle: RePEc:spr:scient:v:64:y:2005:i:3:d:10.1007_s11192-005-0250-y
    DOI: 10.1007/s11192-005-0250-y
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    Cited by:

    1. Lawrence Smolinsky & Aaron Lercher & Andrew McDaniel, 2015. "Testing theories of preferential attachment in random networks of citations," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 66(10), pages 2132-2145, October.
    2. Wolfgang Glänzel, 2009. "The multi-dimensionality of journal impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 78(2), pages 355-374, February.
    3. A. Baccini & L. Barabesi & M. Cioni & C. Pisani, 2014. "Crossing the hurdle: the determinants of individual scientific performance," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(3), pages 2035-2062, December.
    4. Glänzel, Wolfgang, 2010. "On reliability and robustness of scientometrics indicators based on stochastic models. An evidence-based opinion paper," Journal of Informetrics, Elsevier, vol. 4(3), pages 313-319.
    5. Quentin L. Burrell, 2007. "Time-dependent aspects of co-concentration in informetrics," Scientometrics, Springer;Akadémiai Kiadó, vol. 73(2), pages 161-174, November.
    6. Lin Zhang & Wolfgang Glänzel & Liming Liang, 2009. "Tracing the role of individual journals in a cross-citation network based on different indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(3), pages 821-838, December.
    7. Wolfgang Glänzel & Henk F. Moed, 2013. "Opinion paper: thoughts and facts on bibliometric indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(1), pages 381-394, July.
    8. Quentin L. Burrell, 2014. "The individual author’s publication–citation process: theory and practice," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(1), pages 725-742, January.

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