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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 Year-based EM-index by citations which includes all years rather than just those in the initial core. It is calculated just like the Year-based EM′-index by citations, except with a EM′-index style modification.

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. The yearly data is then resorted from high to low for each subsequent step.

Year (yi)20012000199919981997
Citations received in year (Ci)633430122
Rank (i)12345
E1 = 4
Adjusted Citations (Ci)59302682
New Rank (i)12345
E2 = 4
Adjusted Citations (Ci)55262242
New Rank (i)12345
E3 = 4
Adjusted Citations (Ci)51221820
New Rank (i)12345
E4 = 3
Adjusted Citations (Ci)48191520
New Rank (i)12345
E5 = 3
Adjusted Citations (Ci)45161220
New Rank (i)12345
E6 = 3
Adjusted Citations (Ci)4213920
New Rank (i)12345
E7 = 3
Adjusted Citations (Ci)3910620
New Rank (i)12345
E8 = 3
Adjusted Citations (Ci)367320
New Rank (i)12345
E9 = 3
Adjusted Citations (Ci)334200
New Rank (i)12345
E10 = 2
Adjusted Citations (Ci)312200
New Rank (i)12345
E11 = 2
Adjusted Citations (Ci)292000
New Rank (i)12345
E12 = 2

The sum of the 12 E values is 36. The Year-based EM′-index by citations is the square-root of this sum, thus Yc_EM′ = 6.0000.

History

YearYc_EM
19971.0000
19981.4142
19993.7417
20005.6569
20016.0000
200210.6301
200310.8167
200415.4272
200517.2337
200620.2731
200721.1424
200821.4243
200922.3159
201024.4540
201126.5707
201226.5707
201326.6083
201427.6225
201527.6225
201627.6225
201727.1662
201827.6225
201927.6225
202027.6225
202127.6225
202227.6225
202327.6225
202427.6225

References