μ-index
If the h-index and g-index are the largest value x for which x publications have a minimum (h) or mean (g) number of citations equal to x, then the μ-index (Glänzel and Schubert 2010) is the same idea, except based on the median number of citations for the top μ publications.
Example
Publications are ordered by number of citations, from highest to lowest.
| Citations (Ci) | 57 | 26 | 16 | 12 | 11 | 10 | 4 | 3 | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Rank (i) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |
| Median Citations | 57.0 | 41.5 | 26.0 | 21.0 | 16.0 | 14.0 | 12.0 | 11.5 | 11.0 | 10.5 | 10.0 | 7.0 | 4.0 | 3.5 | 3.0 | 2.5 | 2.0 | 1.5 |
| μ = 10 |
The largest rank where i ≤ median citations is 10.
History
| Year | μ |
|---|---|
| 1997 | 1 |
| 1998 | 3 |
| 1999 | 5 |
| 2000 | 7 |
| 2001 | 10 |
| 2002 | 11 |
| 2003 | 14 |
| 2004 | 19 |
| 2005 | 20 |
| 2006 | 24 |
| 2007 | 29 |
| 2008 | 33 |
| 2009 | 34 |
| 2010 | 34 |
| 2011 | 41 |
| 2012 | 46 |
| 2013 | 48 |
| 2014 | 49 |
| 2015 | 51 |
| 2016 | 53 |
| 2017 | 55 |
| 2018 | 58 |
| 2019 | 61 |
| 2020 | 63 |
| 2021 | 64 |
| 2022 | 65 |
| 2023 | 65 |
| 2024 | 66 |
References
- Glänzel, W., and A. Schubert (2010) Hirsch-type characteristics of the tail of distributions. The generalized h-index. Journal of Informetrics 4:118–123.