Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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b-index (mean self & coauthor-citation rate)

The b-index (Brown 2009) is designed to correct h for self-citations, without actually having to check the citation records for every publication. It assumes that an author's self-citation rate is fairly consistent across publications such that, on average, a fraction k of the citations are from other authors. Assuming that citations follow a Zipfian distribution and that empirically derived estimates of the shape of this distribution are reasonable, one finds the index

$$b=hk^{\frac{3}{4}},$$

where b is an estimate of the h-index corrected for self-citations.

There are multiple ways to estimate the non-self-citation rate (k). In this case, we calculate it directly as the mean of the proportion of self and coauthor-citations to total-citations across all publication, subtracted from one, or

$$k=1-\bar{S_r}=1-\frac{\sum\limits_{i=1}^{P}{\frac{s_i}{C_i}}}{P}$$

where si is the number of self and coauthor-citations to the ith publication.

History

Yearbmean.coauth
19970.6817
19981.7006
19992.1491
20003.9757
20014.9015
20025.1615
20037.7028
20049.4386
200510.9200
200613.2911
200715.1673
200817.3902
200920.2465
201020.9401
201122.6187
201222.9279
201325.1740
201426.9778
201529.2789
201630.4486
201729.6326

References