p-index (Prathap)
Also called the mock hm-index (Prathap 2010b), the p-index (Prathap 2010a) is derived from mathematical modeling of the relationship of increasing numbers of publications and citations. It is a function of the total number of citations and the average citations per paper,
$$p=\sqrt[3]{\frac{\left(C^P\right)^2}{P}}.$$History
| Year | p |
|---|---|
| 1997 | 0.8736 |
| 1998 | 3.0411 |
| 1999 | 5.9918 |
| 2000 | 7.9581 |
| 2001 | 10.5314 |
| 2002 | 14.3886 |
| 2003 | 18.3252 |
| 2004 | 24.1473 |
| 2005 | 29.3565 |
| 2006 | 37.0480 |
| 2007 | 43.5533 |
| 2008 | 49.8697 |
| 2009 | 55.1846 |
| 2010 | 60.4447 |
| 2011 | 66.9431 |
| 2012 | 73.9827 |
| 2013 | 78.9726 |
| 2014 | 84.6807 |
| 2015 | 89.7442 |
| 2016 | 94.9466 |
| 2017 | 99.7640 |
| 2018 | 102.7049 |
| 2019 | 107.2143 |
| 2020 | 111.6484 |
| 2021 | 115.8987 |
| 2022 | 118.4083 |
| 2023 | 122.0874 |
| 2024 | 124.6622 |
References
- Prathap, G. (2010) Is there a place for a mock h-index? Scientometrics 84:153–165.
- Prathap, G. (2010) The 100 most prolific economists using the p-index. Scientometrics 84:167–172.