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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
19985.7333
199916.7000
200031.9000
200162.4000
2002116.8587
2003189.0881
2004288.4108
2005415.7115
2006597.7877
2007805.7434
20081000.2615
20091222.3885
20101488.5587
20111840.8877
20122137.2963
20132494.7621
20142797.4410
20153108.3943
20163450.7127
20173743.4523
20184063.9912
20194376.1394
20204695.4691
20215038.2544
20225386.7016
20235702.9346
20245752.5512

References