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Certainty equivalent citation: a generalized class of citation indexes


  • Abatemarco, Antonio
  • Dell'Anno, Roberto


Citation indexes have attracted the interest of many researchers in the recent years. In this paper we propose a new class of citation indexes which is shown to generalize most of the citation indexes in the existing literature (h-, g-, f-, t-index). The class of indexes is obtained borrowing from the notion of ``certainty equivalent income'' or ``equally distributed equivalent income'' which has been largely implemented in the field of risk and inequality measurement. As a result citation orderings are shown to depend on a parameter of concentration/dispersion aversion capturing the value judgments of the decision-maker with respect to the distribution of citations. In order to verify the sensitivity of scientific productivity orderings with respect to concentration/dispersion aversion, an empirical application to a representative sample of Italian academic economists is presented.

Suggested Citation

  • Abatemarco, Antonio & Dell'Anno, Roberto, 2011. "Certainty equivalent citation: a generalized class of citation indexes," MPRA Paper 36367, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:36367

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    References listed on IDEAS

    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. Bruna Bruno, 2014. "Economics of co-authorship," Economic Analysis and Policy, Elsevier, vol. 44(2), pages 212-220.
    3. Burgos, Albert, 2010. "Ranking Scientists," UMUFAE Economics Working Papers 10609, DIGITUM. Universidad de Murcia.
    4. 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.
    5. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
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    Cited by:

    1. Abatemarco, Antonio & Dell'Anno, Roberto, 2012. "The Italian Reform of the academic recruitment system: an appraisal of ANVUR and CUN benchmarks for assessing candidates and commissioners," MPRA Paper 38872, University Library of Munich, Germany.
    2. Yunrong Li & Javier Ruiz-Castillo, 2014. "The impact of extreme observations in citation distributions," Research Evaluation, Oxford University Press, vol. 23(2), pages 174-182.

    More about this item


    citation index; h-index; research assessment; scientific impact measures;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • A29 - General Economics and Teaching - - Economic Education and Teaching of Economics - - - Other
    • H52 - Public Economics - - National Government Expenditures and Related Policies - - - Government Expenditures and Education


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