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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 EM-index applied to the career years h-index by citations. This metric is a measure of citation intensity or distribution by publication year, rather than by publication. Rather than create a list of publications ranked by citation count, one creates a list of years ranked by citation count for all publications from that year. This list is then processed in the same multivariate manner as the EM-index.

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. All years beyond the top Ei are ignored at subsequent steps.

Year (yi)19972000199819992001
Citations from Publication Year (Ci)107161642
Rank (i)12345
E1 = 4
Adjusted Citations (Ci)10312120
Rank (i)1234
E2 = 3
Adjusted Citations (Ci)10099
Rank (i)123
E3 = 3
Adjusted Citations (Ci)9766
Rank (i)123
E4 = 3
Adjusted Citations (Ci)9433
Rank (i)123
E5 = 3

The sum of the 5 E values is 16. Year-based EM-index by publication year citations is the square-root of this sum, thus Ypc_EM = 4.0000.

History

YearYpc_EM
19971.0000
19981.7321
19992.2361
20003.3166
20014.0000
20025.7446
20038.5440
200411.6190
200515.6205
200619.2614
200721.4709
200823.4521
200925.5343
201028.0000
201130.0832
201232.1870
201334.0735
201436.2629
201538.0657
201639.7115
201740.7063
201841.6533
201942.4617
202043.2435
202144.1701
202244.8219
202345.3652
202445.8148

References