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Letter to the editor: Is the h-index a mock compromise between the p-index and the z-index?

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  • Gangan Prathap

    (A P J Abdul Kalam Technological University
    UCSI University)

Abstract

The p-index was introduced as a mock h-index. However, the p-index does not recognize the citation distribution as it accounts for only two dimensions: size P, the count of papers and impact i, the specific citation impact. The z-index became a three-dimensional version by considering the third dimension of the problem: the unevenness of the citation distribution. Here, we identify four normalized citation based indicators: h/P, p/P, z/P and i/P as simple and intuitive dimensionless citation indicators where h is the Hirsch h-index, p and z-indices are those introduced subsequently and i the value of impact as measured by the ratio of citations C to publications P.

Suggested Citation

  • Gangan Prathap, 2021. "Letter to the editor: Is the h-index a mock compromise between the p-index and the z-index?," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(5), pages 4537-4539, May.
    • Handle: RePEc:spr:scient:v:126:y:2021:i:5:d:10.1007_s11192-021-03928-9
    DOI: 10.1007/s11192-021-03928-9
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    References listed on IDEAS

    as
    1. Gangan Prathap, 2010. "The 100 most prolific economists using the p-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 167-172, July.
    2. Gangan Prathap, 2010. "Is there a place for a mock h-index?," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 153-165, July.
    3. Gangan Prathap, 2018. "Letter to the editor: Dimensionless citation indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 115(3), pages 1433-1435, June.
    4. Wolfgang Glänzel, 2006. "On the h-index - A mathematical approach to a new measure of publication activity and citation impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 67(2), pages 315-321, May.
    5. Lutz Bornmann & Loet Leydesdorff, 2018. "Count highly-cited papers instead of papers with h citations: use normalized citation counts and compare “like with like”!," Scientometrics, Springer;Akadémiai Kiadó, vol. 115(2), pages 1119-1123, May.
    6. Gangan Prathap, 2014. "The zynergy-index and the formula for the h-index," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 65(2), pages 426-427, February.
    7. Schubert, András & Glänzel, Wolfgang, 2007. "A systematic analysis of Hirsch-type indices for journals," Journal of Informetrics, Elsevier, vol. 1(3), pages 179-184.
    8. Brito, Ricardo & Navarro, Alonso Rodríguez, 2021. "The inconsistency of h-index: A mathematical analysis," Journal of Informetrics, Elsevier, vol. 15(1).
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    Cited by:

    1. Wei, Shelia X. & Tong, Tong & Rousseau, Ronald & Wang, Wanru & Ye, Fred Y., 2022. "Relations among the h-, g-, ψ-, and p-index and offset-ability," Journal of Informetrics, Elsevier, vol. 16(4).

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