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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
19985.9000
199916.2000
200034.4000
200164.2333
2002117.9556
2003190.3040
2004292.6266
2005423.5242
2006608.7266
2007810.9346
20081007.9051
20091230.8599
20101498.3563
20111851.1090
20122147.3010
20132508.9301
20142808.4940
20153122.0016
20163461.2631
20173760.5170
20184075.2595
20194397.2901
20204717.3531
20215068.0074
20225424.2431
20235749.2385
20246110.1256
20256181.1781

References