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Bibliometrics: the art of citations indices

version 1.1 (7.65 KB) by

Compute practically all bibliometric indices actually known.



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Actually, every researcher come to terms with his/her bibliometric

performance. There are many software to compute these indices, like
 Publish or Perish or Google Scholar. Anyway, these softwares require an
 additional work like to identify the proper papers to exclude papers by
 authors with the same name and surname. Moreover, Google Scholar is not
 efficient to list all the authors of a papers (it cuts the list), so some
 metrics are inaccurate.
 So I decided to set-up this algorithm to compute these metrics without web


Syntax: bibliometrics(C,Y,A)



C - an array with the number of Citations of published papers (mandatory). These data can be obtained using several databases
 as ISI, Researcher ID, Google Scholar, Scopus, Citeseeker,...

Y - an array with the Years of publication of the papers
 (optional). Everybody know when an own paper was published...

A - an array with the number of Authors of published papers (optional). Everybody know the number of co-authors of an own paper...

Outputs (if all vectors were given):

- Descriptive statistics:

   ° Total number of papers

   ° Total number of citations

   ° Min, Max, Mode, Median and Mean citations per papers (with 95% confidence intervals)

   °Variation Coefficient (normal and adjusted)
   °Gini's coefficient and Lorenz Diagram

   ° Years of activity, first and last year of publication

   ° Min, Max, Mode, Median and Mean papers per year (with 95% confidence intervals)

   ° Mean number of citations per year

   ° Min, Max, Mode, Median and Mean Authors per paper (with 95% confidence intervals)

   ° Citations per author

- Bibliometrics indices

   ° Citations indices

        * Hirsch's h-index with a and m parameters, delta-h

        * Egghe's g-index, delta-g

        * Jin's A-index

        * Kosmulski's h2-index

        * Zhang's e-index

        * Sidiropoulos'es normalized h-Index

    ° Years weighted indices

        * Sidiropoulos'es Contemporary h-Index (hc-index)

        * Jin's Age weighted citation rate (AWCR) and AR-index

        * Harzing's Age weighted citation rate (AWCR) and AR-index

    ° Authors weighted indices

        * Batista's Individual h-index (hI-index)

        * Harzing's Individual h-index (hI,norm-index)

        * Schreiber's Multi-authored h-index (hm-index)

     ° Years and Authors weighted indices

        * Jin's Age weighted citation rate (AWCR) and AR-index

        * Harzing's Age weighted citation rate (AWCR) and AR-index


        Several plots

The function requires the Statistical Toolbox only to compute the medians 95% confidence intervals. If you have not the StatTbx simply disable these rows.

Comments and Ratings (2)

Pio Nonus

simple though efficient



I have changed the help section and added the Gini's coefficient, Lorenz Plot and Variation Coefficient for citations per papers

MATLAB Release
MATLAB 7.6 (R2008a)

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