Computational Evolutionary Biology & Bioinformatics

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

### History

## References

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

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-citations to total-citations across all publication, subtracted from one, or

where *s _{i}* is the number of self-citations by the target author to the

Year | b_{mean.self} |
---|---|

1997 | 0.6817 |

1998 | 1.7006 |

1999 | 2.4856 |

2000 | 4.2007 |

2001 | 5.0947 |

2002 | 5.3923 |

2003 | 7.9068 |

2004 | 9.9329 |

2005 | 11.2363 |

2006 | 13.5443 |

2007 | 15.4022 |

2008 | 17.6738 |

2009 | 21.1070 |

2010 | 22.3004 |

2011 | 23.9925 |

2012 | 24.6977 |

2013 | 27.2169 |

2014 | 29.7429 |

2015 | 31.9200 |

2016 | 32.9506 |

2017 | 32.6308 |

- Brown, R.J.C. (2009) A simple method for excluding self-citation from the
*h-*index: the*b-*index.*Online Information Review*33(6):1129–1136.