k-index (Anania and Caruso)
Properties
- Metric Type: Core Metric
- Publication Focus: Core Publications
- Citation Focus: Core Citations
Description
The k-index (Anania and Caruso 2013) is a variant of the h-index, where h includes a fractional component representing the proportion of the Hirsch core citations (CH) which are above and beyond those necessary to achieve h, making k essentially a function of h and the e-index. It can be calculated as:
$$k=h+\left(1-\frac{h^2}{C^H}\right)=h+\frac{e^2}{C^H}=h+\frac{e^2}{h^2 + e^2}.$$k will always be between h and h+1. The authors also described a very similar metric known as the w-index (Anania and Caruso); w will always be equal to or greater than k.
History
Year | k |
---|---|
1997 | 1.0000 |
1998 | 3.3077 |
1999 | 3.7568 |
2000 | 5.6667 |
2001 | 6.7293 |
2002 | 8.7117 |
2003 | 10.7076 |
2004 | 12.7415 |
2005 | 15.7353 |
2006 | 16.7893 |
2007 | 19.7803 |
2008 | 21.7896 |
2009 | 24.7786 |
2010 | 25.8010 |
2011 | 28.7955 |
2012 | 32.7765 |
2013 | 33.7958 |
2014 | 34.8088 |
2015 | 35.8181 |
2016 | 35.8349 |
2017 | 37.8308 |
2018 | 37.8428 |
2019 | 37.8531 |
2020 | 38.8549 |
2021 | 39.8569 |
2022 | 41.8521 |
2023 | 41.8593 |
2024 | 42.8596 |
2025 | 44.8502 |
References
- Anania, G., and A. Caruso (2013) Two simple new bibliometric indexes to better evaluate research in disciplines where publications typically receive less citations. Scientometrics 96:617-631.