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Year-based EM'-index by publication year citations

The Year-based EM′-index by publication year citations (Bihari and S. Tripathi 2018) is an adapation of the Year-based EM-index by publication year citations which includes all years rather than just those in the initial core. It is calculated just like the Year-based EM′-index by publication year citations, except with a EM′-index style modification.

Example

Years are ordered by number of citations, 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)19972000199819992001
Citations from Publication Year (Ci)107161642
Rank (i)12345
E1 = 4
Adjusted Citations (Ci)103121220
New Rank (i)12345
E2 = 3
Adjusted Citations (Ci)1009920
New Rank (i)12345
E3 = 3
Adjusted Citations (Ci)976620
New Rank (i)12345
E4 = 3
Adjusted Citations (Ci)943320
New Rank (i)12345
E5 = 3
Adjusted Citations (Ci)912000
New Rank (i)12345
E6 = 2

The sum of the 6 E values is 18. Year-based EM′-index by publication year citations is the square-root of this sum, thus Ypc_EM′ = 4.2426.

History

YearYpc_EM
19971.0000
19983.4641
19996.1644
20008.1240
20014.2426
200212.2066
200314.0357
200415.8745
200517.4929
200619.9499
200723.0217
200825.5343
200927.8927
201030.4795
201132.1870
201234.1906
201335.6511
201437.2424
201538.4838
201640.0874
201742.0119
201843.6692
201945.2106
202046.4866
202147.9270
202249.6488
202351.0686
202452.2972

References