Power-law distribution of individual Hirsch indices, the comparison of merits in different fields, and the relation to a Pareto distribution

Details Power-law distribution of individual Hirsch indices, the comparison of merits in different fields, and the relation to a Pareto distribution Power-law distribution of individual Hirsch indices, the comparison of merits in different fields, and the relation to a Pareto distribution

2006-08-29

arxiv.org/abs/physics/0608282v1

Physics

Data Analysis, Statistics and Probability

2 pages, 2 figures

Scientific paper

A data set of Hirsch indices, $h$, for Finnish scientists in certain fields is statistically analyzed and fitted to $h(n) =Pn^p$ for the $n$-th most-quoted scientist. The precoefficient $P$ is characteristic for the field and the exponent $p$ is about -0.2 for all data sets considered. For Physics, Chemistry and Chemical Engineering, the $P$ are 49.7(8), 41.3(6), and 21.4(6), respectively. These $p$ values correspond to Pareto exponents of about -7 for the distribution of Hirsch indices $h$.

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