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 | 2.9044 |
| 1999 | 5.9918 |
| 2000 | 7.5745 |
| 2001 | 10.3369 |
| 2002 | 14.3136 |
| 2003 | 18.2335 |
| 2004 | 24.0464 |
| 2005 | 29.1690 |
| 2006 | 36.8652 |
| 2007 | 43.4724 |
| 2008 | 49.7812 |
| 2009 | 55.1444 |
| 2010 | 60.3125 |
| 2011 | 66.8222 |
| 2012 | 73.8169 |
| 2013 | 78.8106 |
| 2014 | 84.5811 |
| 2015 | 89.6410 |
| 2016 | 94.8725 |
| 2017 | 99.6044 |
| 2018 | 102.5454 |
| 2019 | 107.0295 |
| 2020 | 111.4614 |
| 2021 | 115.6268 |
| 2022 | 118.0471 |
| 2023 | 121.7010 |
| 2024 | 121.8664 |
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.