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weighted citation aggregate (proportional)

The proportional weighted citation aggregate (Abbas 2011) is a weighted count of an author's citations (an alternative to total citations), where the weighting is based on the total number of authors of each publication and their position within the author list (ai) under an assumption of proportionally decreasing credit with respect to their position.

$$\psi_p=\sum\limits_{i=i}^{P}{\frac{C_i}{\frac{A_i\left(A_i+1\right)}{2\left(A_i+1-a_i\right)}}}=\sum\limits_{i=i}^{P}{C_i\frac{2\left(A_i+1-a_i\right)}{A_i\left(A_i+1\right)}}$$

History

Yearψp
19970.7000
19986.4000
199916.5333
200034.9000
200165.9333
2002118.5230
2003189.8714
2004291.1941
2005420.5900
2006604.3981
2007807.3545
20081003.0583
20091223.8448
20101491.6833
20111844.9384
20122138.3039
20132502.4615
20142804.6239
20153121.9543
20163460.4195
20173756.6798
20184070.4433
20194389.8639
20204708.4201
20215051.6056
20225403.9302
20235730.1912
20246077.8000
20256249.9834

References