Journal of Data and Information Science ›› 2019, Vol. 4 ›› Issue (1): 22-31.doi: 10.2478/jdis-2019-0002

• Research Paper • Previous Articles     Next Articles

Equalities between h-type Indices and Definitions of Rational h-type Indicators

Leo Egghe1,Yves Fassin2,Ronald Rousseau3,4†()   

  1. 1University of Hasselt, Belgium
    2Department of Marketing, Innovation and Organisation, Faculty of Economics and Business Administration, Ghent University, Tweekerkenstraat, 2, 9000 Gent, Belgium
    3University of Antwerp, Faculty of Social Sciences, Middelheimlaan 1, 2020, Antwerpen, Belgium
    4KU Leuven, Facultair Onderzoekscentrum ECOOM, Naamsestraat 61, 3000 Leuven, Belgium
  • Received:2018-11-24 Revised:2018-12-08 Online:2019-01-31 Published:2019-01-31
  • Contact: Ronald Rousseau E-mail:ronald.rousseau@kuleuven.be

Abstract:

Purpose: To show for which publication-citation arrays h-type indices are equal and to reconsider rational h-type indices. Results for these research questions fill some gaps in existing basic knowledge about h-type indices.

Design/methodology/approach: The results and introduction of new indicators are based on well-known definitions.

Findings: The research purpose has been reached: answers to the first questions are obtained and new indicators are defined.

Research limitations: h-type indices do not meet the Bouyssou-Marchant independence requirement.

Practical implications: On the one hand, more insight has been obtained for well-known indices such as the h- and the g-index and on the other hand, simple extensions of existing indicators have been added to the bibliometric toolbox. Relative rational h-type indices are more useful for individuals than the existing absolute ones.

Originality/value: Answers to basic questions such as “when are the values of two h-type indices equal” are provided. A new rational h-index is introduced.

Key words: h-index, g-index, Rational h-type indices, Relative rational h-index, Lotkaian framework