weighted citation aggregate (fractional)
The fractional weighted citation aggregate (Abbas 2011) is a weighted count of an author's citations (an alternative to total citations), where the weighting is based on the total number of authors of each publication, with each author receiving equal credit for the publication.
$$\psi_e=\sum\limits_{i=i}^{P}{\frac{C_i}{A_i}}$$History
| Year | ψe |
|---|---|
| 1997 | 0.5833 |
| 1998 | 6.0000 |
| 1999 | 16.4167 |
| 2000 | 33.3333 |
| 2001 | 59.6667 |
| 2002 | 104.9325 |
| 2003 | 168.1984 |
| 2004 | 257.6926 |
| 2005 | 373.2240 |
| 2006 | 549.3315 |
| 2007 | 739.7843 |
| 2008 | 931.5812 |
| 2009 | 1147.8288 |
| 2010 | 1408.5505 |
| 2011 | 1717.2880 |
| 2012 | 1989.2651 |
| 2013 | 2330.1955 |
| 2014 | 2604.8360 |
| 2015 | 2896.9634 |
| 2016 | 3204.2780 |
| 2017 | 3476.2574 |
| 2018 | 3778.9149 |
| 2019 | 4074.3334 |
| 2020 | 4381.6458 |
| 2021 | 4713.1798 |
| 2022 | 5052.7116 |
| 2023 | 5360.0067 |
| 2024 | 5663.9638 |
References
- Abbas, A.M. (2011) Weighted indices for evaluating the quality of research with multiple authorship. Scientometrics 88:107–131.