j-index (Mikhailov)
Mikhailov's j-index (Mikhailov 2014) falls between the h-index and the h(2)-index. Rather than requiring each publication in the core to have h or h2 publications, respectively, it requires them to have j3/2:
$$j=\underset{i}{\max}\left(\text{floor}\left(i^{3/2}\right) \leq C_i\right).$$Example
Publications are ordered by number of citations, from highest to lowest.
| Citations (Ci) | 47 | 26 | 19 | 15 | 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 |
| floor(i3/2) | 1 | 2 | 5 | 8 | 11 | 14 | 18 | 22 | 27 | 31 | 36 | 41 | 46 | 52 | 58 | 64 | 70 | 76 |
| j = 5 |
The largest rank where i ≤ Ci is 5.
History
| Year | j |
|---|---|
| 1997 | 1 |
| 1998 | 2 |
| 1999 | 2 |
| 2000 | 4 |
| 2001 | 5 |
| 2002 | 5 |
| 2003 | 6 |
| 2004 | 8 |
| 2005 | 10 |
| 2006 | 10 |
| 2007 | 11 |
| 2008 | 12 |
| 2009 | 14 |
| 2010 | 15 |
| 2011 | 16 |
| 2012 | 17 |
| 2013 | 19 |
| 2014 | 19 |
| 2015 | 19 |
| 2016 | 19 |
| 2017 | 19 |
| 2018 | 20 |
| 2019 | 20 |
| 2020 | 21 |
| 2021 | 22 |
| 2022 | 22 |
| 2023 | 22 |
| 2024 | 22 |
References
- Mikhailov, O.V.e. (2014) A new version of the Hirsh index: The j-index. Herald of the Russian Academy of Sciences 84(3):217–220.