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A theoretical model of the relationship between the h-index and other simple citation indicators

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F17%3A10238039" target="_blank" >RIV/61989100:27510/17:10238039 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.ncbi.nlm.nih.gov/pubmed/28596626" target="_blank" >https://www.ncbi.nlm.nih.gov/pubmed/28596626</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11192-017-2351-9" target="_blank" >10.1007/s11192-017-2351-9</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A theoretical model of the relationship between the h-index and other simple citation indicators

  • Original language description

    Of the existing theoretical formulas for the h-index, those recently suggested by Burrell (J Informetr 7:774-783, 2013b) and by Bertoli-Barsotti and Lando (J Informetr 9(4):762-776, 2015) have proved very effective in estimating the actual value of the h-index Hirsch (Proc Natl Acad Sci USA 102:16569-16572, 2005), at least at the level of the individual scientist. These approaches lead (or may lead) to two slightly different formulas, being based, respectively, on a &quot;standard&quot; and a &quot;shifted&quot; version of the geometric distribution. In this paper, we review the genesis of these two formulas-which we shall call the &quot;basic&quot; and &quot;improved&quot; Lambert-W formula for the h-index-and compare their effectiveness with that of a number of instances taken from the well-known Glänzel-Schubert class of models for the h-index (based, instead, on a Paretian model) by means of an empirical study. All the formulas considered in the comparison are &quot;ready-to-use&quot;, i.e., functions of simple citation indicators such as: the total number of publications; the total number of citations; the total number of cited paper; the number of citations of the most cited paper. The empirical study is based on citation data obtained from two different sets of journals belonging to two different scientific fields: more specifically, 231 journals from the area of &quot;Statistics and Mathematical Methods&quot; and 100 journals from the area of &quot;Economics, Econometrics and Finance&quot;, totaling almost 100,000 and 20,000 publications, respectively. The citation data refer to different publication/citation time windows, different types of &quot;citable&quot; documents, and alternative approaches to the analysis of the citation process (&quot;prospective&quot; and &quot;retrospective&quot;). We conclude that, especially in its improved version, the Lambert-W formula for the h-index provides a quite robust and effective ready-to-use rule that should be preferred to other known formulas if one&apos;s goal is (simply) to derive a reliable estimate of the h-index.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    50206 - Finance

Result continuities

  • Project

    <a href="/en/project/GJ17-23411Y" target="_blank" >GJ17-23411Y: Income distribution in the society: econometric models and dominance criteria for intersecting Lorenz curves</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Scientometrics

  • ISSN

    0138-9130

  • e-ISSN

  • Volume of the periodical

    111

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    34

  • Pages from-to

    1415-1448

  • UT code for WoS article

    000401747900009

  • EID of the result in the Scopus database