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h2-tail index

The h-index describes an h×h square under the citation curve containing h2 citations. Bornmann et al. (2010) suggest dividing the citation curve into three sections based on this square and describing each section as the percent of all citations found within the section.

The h2-tail index is the percent of citations found within the tail of the citation curve, i.e., the citations of publications outside the h-core. It is calculated as:$$h_\text{tail}^2=\frac{C^P - C^H}{C^P}\times 100=\frac{\sum\limits_{i=h+1}^{P}{C_i}}{C^P}\times 100$$

History

Year\(h_\text{tail}^2\)
199750.0000
199835.7143
199915.9091
20007.6923
20019.2199
200213.7795
200311.5869
200412.5984
20059.6567
20068.8608
20078.1564
20086.9809
20094.3684
20105.5007
20114.8383
20123.4345
20133.2492
20142.9407
20153.0949
20163.3742
20172.8616
20183.3026
20193.6362
20203.8640
20213.7734
20223.6495
20233.6032
20243.6470

References