Statistical Analysis of the Hirsch Index

Scandinavian Journal of Statistics

Volumn 39, Issue 4, 2012, Pages 681-694

  Pratelli, Luca ^a   Baccini, Alberto ^b   Barabesi, Lucio ^b   Marcheselli, Marzia ^b  

^a Naval Academy   (Italy)

^b UNIVERSITY OF SIENA   (Italy)

Author keywords

Heavy tailed distribution; Hirsch index; Variance estimation

Indexed keywords

EID: 84870052882     PISSN: 03036898     EISSN: 14679469     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2011.00782.x     Document Type: Article

References (19)

1. Adler, R., Ewing, J. & Taylor, P. (2009). Citation statistics. Statist. Sci. 24, 1-14.
2. Ball, P. (2007). Achievement index climbs the ranks. Nature 448, 727-737.
3. Barcza, K. & Telcs, A. (2009). Paretian publication patterns imply Paretian Hirsch index. Scientometrics 81, 513-519.
4. Beirlant, J. & Einmahl, J. H. J. (2010). Asymptotics for the Hirsch index. Scand. J. Stat. 37, 355-364.
5. Beirlant, J., Goegebeur, Y., Segers, J. & Teugels, J. (2004). Statistics of extremes: theory and applications. Wiley, New York.
6. Braun, T., Glänzel, W. & Schubert, A. (2006). A Hirsch-type index for journals. Scientometrics 69, 169-173.
7. Christoph, G. & Schreiber, K. (1998). Discrete stable random variables. Statist. Prob. Lett. 37, 243-247.
8. Costas, R. & Bordons, M. (2007). The h-index: advantages, limitations and its relation with other bibliometric indicators at the micro level. J. Informetr. 1, 193-203.
9. DasGupta, A. (2008). Asymptotic theory of statistics and probability. Springer, New York.
10. Egghe, L. (2005). Power laws in the information production process. Wiley, New York.
11. Glänzel, W. (2006). On the h-index - a mathematical approach to a new measure of publication activity and citation impact. Scientometrics 67, 315-321.
12. Hall, P. G. (2009). Comment: citation statistics. Statist. Sci. 24, 25-26.
13. Hirsch, J. E. (2005). An index to quantify an individual's scientific research output. Proc. Natl. Acad. Sci. USA 102, 16569-16572.
14. Marcheselli, M. (2003). Asymptotic results in jackknifing non-smooth functions of the sample mean vector. Ann. Statist. 31, 1885-1904.
15. Marcheselli, M., Baccini, A. & Barabesi, L. (2008). Parameter estimation for the discrete stable family. Comm. Statist. Theory Methods 37, 815-830.
16. Molinari, J. F. & Molinari, A. (2008). A new methodology for ranking scientific institutions. Scientometrics 75, 163-174.
17. Nejati, A. & Hosseini Jenab, S. (2010). A two-dimensional approach to evaluate the scientific production of countries (case study: the basic sciences). Scientometrics 84, 357-364.
18. Steutel, F. W. & van Harn, K. (2004). Infinite divisibility of probability distributions on the real line. Dekker, New York.
19. Van Noorden, R. (2010). Metrics: a profusion of measures. Nature 465, 864-866.