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k-index

The k-index (Ye and Rousseau 2010) is a measure of the relative impact of citations within the h-index 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.

History

Yeark
19970.3333
19983.1500
199925.8413
200066.8571
200177.1282
200272.2416
2003116.5109
2004151.9073
2005249.1251
2006383.7143
2007516.8177
2008730.9163
20091336.3646
20101126.7631
20111448.6647
20122382.8788
20132645.7893
20143209.2657
20153246.5952
20163185.7698
20174033.1959
20183510.8026
20193366.0296
20203336.4646
20213567.2627
20223694.5591
20233895.9192
20243832.7114

References