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Year-based EM-index by citations

The Year-based EM-index by citations (Bihari and S. Tripathi 2018) is an adapation of the EM-index applied to the citation counts received in a year (to all publications), rather than citations clustered by year of publication. One creates a list of years ranked by citations received that year for all publications. This list is then processed in the same multivariate manner as the EM-index.

Example

Years are ordered by number of citations received that year, from highest to lowest. After each step, Ei is subtracted from the citations of the top Ei years. All years beyond the top Ei are ignored at subsequent steps.

Year (yi)20012000199919981997
Citations received in year (Ci)634128142
Rank (i)12345
E1 = 4
Adjusted Citations (Ci)59372410
Rank (i)1234
E2 = 4
Adjusted Citations (Ci)5533206
Rank (i)1234
E3 = 4
Adjusted Citations (Ci)5129162
Rank (i)1234
E4 = 3
Adjusted Citations (Ci)482613
Rank (i)123
E5 = 3
Adjusted Citations (Ci)452310
Rank (i)123
E6 = 3
Adjusted Citations (Ci)42207
Rank (i)123
E7 = 3
Adjusted Citations (Ci)39174
Rank (i)123
E8 = 3
Adjusted Citations (Ci)36141
Rank (i)123
E9 = 2
Adjusted Citations (Ci)3412
Rank (i)12
E10 = 2
Adjusted Citations (Ci)3210
Rank (i)12
E11 = 2
Adjusted Citations (Ci)308
Rank (i)12
E12 = 2
Adjusted Citations (Ci)286
Rank (i)12
E13 = 2
Adjusted Citations (Ci)264
Rank (i)12
E14 = 2
Adjusted Citations (Ci)242
Rank (i)12
E15 = 2

The sum of the 15 E values is 41. The Year-based EM-index by citations is the square-root of this sum, thus Yc_EM = 6.4031.

History

YearYc_EM
19971.0000
19981.4142
19993.7417
20005.2915
20016.4031
20027.9373
200310.4881
200411.8743
200515.4919
200617.4069
200720.2237
200820.9284
200921.5174
201022.2036
201124.6577
201226.2869
201326.5141
201426.7395
201526.8701
201626.9629
201726.9629
201826.9629
201926.9629
202026.9629
202127.0000
202227.0000
202327.0000
202427.0000
202527.0000

References