dorsal/arxiv
View SchemaPower-law distribution of individual Hirsch indices, the comparison of merits in different fields, and the relation to a Pareto distribution
| Authors | Pekka Pyykko |
|---|---|
| Categories | |
| ArXiv ID | physics/0608282 |
| URL | https://arxiv.org/abs/physics/0608282 |
Abstract
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 $h$.
{
"annotation_id": "9386c4cf-27b1-40ff-a394-3980e1601ceb",
"date_created": "2026-03-02T18:01:10.527000Z",
"date_modified": "2026-03-02T18:01:10.527000Z",
"file_hash": "8533fce2372a2b46e46d91007fd35f3ecccf099178a55ca2167623052822c41d",
"private": false,
"record": {
"abstract": "A data set of Hirsch indices, $h$, for Finnish scientists in certain fields\nis statistically analyzed and fitted to $h(n) =Pn^p$ for the $n$-th most-quoted\nscientist. The precoefficient $P$ is characteristic for the field and the\nexponent $p$ is about -0.2 for all data sets considered. For Physics, Chemistry\nand Chemical Engineering, the $P$ are 49.7(8), 41.3(6), and 21.4(6),\nrespectively. These $p$ values correspond to Pareto exponents of about -7 for\nthe distribution of Hirsch indices $h$.",
"arxiv_id": "physics/0608282",
"authors": [
"Pekka Pyykko"
],
"categories": [
"physics.data-an"
],
"title": "Power-law distribution of individual Hirsch indices, the comparison of merits in different fields, and the relation to a Pareto distribution",
"url": "https://arxiv.org/abs/physics/0608282"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5a9a0441-7511-473d-b7de-07feb50939ec",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}