Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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t-index (Tol)

If the h- and g-indices are the largest value x for which x publications have a minimum (h) or mean (g) number of citations equal to x, then Tol's t-index (Tol 2007) is the same idea, except based on the geometric mean number of citations for the top t publications.

$$t=\underset{i}{\max}\left(\exp\left(\frac{1}{i}\sum\limits_{j=1}^{i}\ln{C_j}\right)\geq i\right)$$

Example

Publications are ordered by number of citations, from highest to lowest.

Citations (Ci)42361411993222111000
Rank (i)12345678910111213141516
Geometric Mean Citations42.038.927.722.018.416.312.810.28.57.36.15.34.64.23.83.5
t = 8

The largest rank where i ≤ geometic mean citations is 8.

History

Yeart
19971
19983
19994
20007
20018
200211
200314
200418
200521
200624
200728
200831
200933
201036
201139
201241
201344
201445
201547
201648
201749

References