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Certainty equivalent citation: generalized classes of citation indexes

Author

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  • Antonio Abatemarco

    (University of Salerno)

  • Roberto Dell’Anno

    (University of Foggia)

Abstract

Drawing from the existing literature on risk and inequality measurement, we implement the notion of “certainty equivalent citation” in order (i) to generalize most of the h-type citation indexes (h-, g-, $$\tilde{g},$$ t-, f-, w-index), and (ii) to highlight the centrality of the decision-maker’s preferences on distributive aspects (concentration aversion) for the ranking of citation profiles. In order to highlight the sensitivity of citation orderings with respect to concentration aversion, an application to both simulated and real citation profiles is presented.

Suggested Citation

  • Antonio Abatemarco & Roberto Dell’Anno, 2013. "Certainty equivalent citation: generalized classes of citation indexes," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(1), pages 263-271, January.
    • Handle: RePEc:spr:scient:v:94:y:2013:i:1:d:10.1007_s11192-012-0758-x
    DOI: 10.1007/s11192-012-0758-x
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    1. Bornmann, Lutz & Marx, Werner & Schier, Hermann & Rahm, Erhard & Thor, Andreas & Daniel, Hans-Dieter, 2009. "Convergent validity of bibliometric Google Scholar data in the field of chemistry—Citation counts for papers that were accepted by Angewandte Chemie International Edition or rejected but published els," Journal of Informetrics, Elsevier, vol. 3(1), pages 27-35.
    2. Glenn Ellison, 2013. "How Does the Market Use Citation Data? The Hirsch Index in Economics," American Economic Journal: Applied Economics, American Economic Association, vol. 5(3), pages 63-90, July.
    3. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    4. Loet Leydesdorff & Lutz Bornmann & Rüdiger Mutz & Tobias Opthof, 2011. "Turning the tables on citation analysis one more time: Principles for comparing sets of documents," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(7), pages 1370-1381, July.
    5. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    6. Bruna Bruno, 2014. "Economics of co-authorship," Economic Analysis and Policy, Elsevier, vol. 44(2), pages 212-220.
    7. Richard S. J. Tol, 2009. "The h-index and its alternatives: An application to the 100 most prolific economists," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 317-324, August.
    8. Woeginger, Gerhard J., 2008. "An axiomatic analysis of Egghe’s g-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 364-368.
    9. Denis Bouyssou & Thierry Marchant, 2011. "Ranking scientists and departments in a consistent manner," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 62(9), pages 1761-1769, September.
    10. Glänzel, Wolfgang & Schubert, András, 2010. "Hirsch-type characteristics of the tail of distributions. The generalised h-index," Journal of Informetrics, Elsevier, vol. 4(1), pages 118-123.
    11. Burgos, Albert, 2010. "Ranking Scientists," UMUFAE Economics Working Papers 10609, DIGITUM. Universidad de Murcia.
    12. Moed, H. F. & Burger, W. J. M. & Frankfort, J. G. & Van Raan, A. F. J., 1985. "The use of bibliometric data for the measurement of university research performance," Research Policy, Elsevier, vol. 14(3), pages 131-149, June.
    13. Loet Leydesdorff & Lutz Bornmann, 2011. "Integrated impact indicators compared with impact factors: An alternative research design with policy implications," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(11), pages 2133-2146, November.
    14. Chun-Ting Zhang, 2009. "The e-Index, Complementing the h-Index for Excess Citations," PLOS ONE, Public Library of Science, vol. 4(5), pages 1-4, May.
    15. Albarrán, Pedro & Ortuño, Ignacio & Ruiz-Castillo, Javier, 2011. "The measurement of low- and high-impact in citation distributions: Technical results," Journal of Informetrics, Elsevier, vol. 5(1), pages 48-63.
    16. Robert J. W. Tijssen & Martijn S. Visser & Thed N. van Leeuwen, 2002. "Benchmarking international scientific excellence: Are highly cited research papers an appropriate frame of reference?," Scientometrics, Springer;Akadémiai Kiadó, vol. 54(3), pages 381-397, July.
    17. Denis Bouyssou & Thierry Marchant, 2011. "Ranking scientists and departments in a consistent manner," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(9), pages 1761-1769, September.
    18. Pablo D. Batista & Mônica G. Campiteli & Osame Kinouchi, 2006. "Is it possible to compare researchers with different scientific interests?," Scientometrics, Springer;Akadémiai Kiadó, vol. 68(1), pages 179-189, July.
    19. Schreiber, Michael, 2010. "A new family of old Hirsch index variants," Journal of Informetrics, Elsevier, vol. 4(4), pages 647-651.
    20. Thierry Marchant, 2009. "An axiomatic characterization of the ranking based on the h-index and some other bibliometric rankings of authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 325-342, August.
    21. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    22. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    23. Martin Ravallion & Adam Wagstaff, 2011. "On measuring scholarly influence by citations," Scientometrics, Springer;Akadémiai Kiadó, vol. 88(1), pages 321-337, July.
    24. Peter Weingart, 2005. "Impact of bibliometrics upon the science system: Inadvertent consequences?," Scientometrics, Springer;Akadémiai Kiadó, vol. 62(1), pages 117-131, January.
    25. Lutz Bornmann & Hans‐Dieter Daniel, 2007. "What do we know about the h index?," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 58(9), pages 1381-1385, July.
    26. Dag W. Aksnes & Gunnar Sivertsen, 2004. "The effect of highly cited papers on national citation indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 59(2), pages 213-224, February.
    27. Lutz Bornmann, 2011. "Mimicry in science?," Scientometrics, Springer;Akadémiai Kiadó, vol. 86(1), pages 173-177, January.
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    Cited by:

    1. Antonio Abatemarco & Roberto Dell'Anno, 2012. "Italian Reform of the academic recruitment system. An appraisal of ANVUR and CUN benchmarks for assessing candidates and commissioners," Rivista italiana degli economisti, Società editrice il Mulino, issue 3, pages 441-480.
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    More about this item

    Keywords

    Citation index; h-Index; w-Index; Inequality measurement;
    All these keywords.

    JEL classification:

    • I23 - Health, Education, and Welfare - - Education - - - Higher Education; Research Institutions
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H52 - Public Economics - - National Government Expenditures and Related Policies - - - Government Expenditures and Education

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