Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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k-index

The k-index (Ye and Rousseau 2010) is a measure of the relative impact of citations within the Hirsch core to those in the tail. Specifically, it is the ratio of impact over the tail-core ratio and is calculated as

$$k=\frac{C^PC^h}{P\left(C^P-C^h\right)}.$$This metric is specifically meant to be used in a time-series analysis where k is calculated for multiple time points.

Yeark
19970.4000
19984.8750
199931.8857
200035.9815
200183.8177
200272.7059
200388.6350
2004140.8333
2005203.6276
2006289.2347
2007374.2166
2008519.9761
2009877.0532
2010789.1636
2011834.6253
2012892.5523
20131023.7843
20141603.2943
20152003.4451
20162500.3352
20172372.3415

References

• Ye, F.Y., and R. Rousseau (2010) Probing the h-core: An investigation of the tail-core ratio for rank distributions. Scientometrics 84(2):431–439.