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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
2003190.4706
2004290.2933
2005420.1210
2006604.6568
2007809.5759
20081006.5019
20091229.4567
20101498.6864
20111851.0170
20122146.8089
20132508.2832
20142809.0019
20153123.6985
20163459.6043
20173757.0368
20184076.0667
20194392.0258
20204711.5888
20215059.9772
20225415.5295
20235738.1899
20246056.2709

References