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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
199818.7500
199915.9091
200011.7647
200110.1351
200213.9535
200314.2857
200412.8326
20059.7665
200610.0666
20078.1610
20086.9272
20095.2095
20106.3227
20115.4980
20123.4969
20133.3182
20142.9695
20153.1070
20163.3859
20172.8688
20183.2452
20193.6098
20203.8357
20214.0527
20223.5960
20233.8477
20243.8494
20253.6374

References