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k-index (Anania and Caruso)

Properties

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

Yeark
19971.0000
19983.3077
19993.7568
20005.6667
20016.7293
20028.7117
200310.7076
200412.7415
200515.7353
200616.7893
200719.7803
200821.7896
200924.7786
201025.8010
201128.7955
201232.7765
201333.7958
201434.8088
201535.8181
201635.8349
201737.8308
201837.8428
201937.8531
202038.8549
202139.8569
202241.8521
202341.8593
202442.8596
202544.8502

References