On a heuristic point of view concerning the citation distribution: introducing the Wakeby distribution

The paper proposes a heuristic approach to modeling the cumulative distribution of citations of papers in scientific journals by means of the Wakeby distribution. The Markov process of citation leading to the Wakeby distribution is analyzed using the terminal time formalism. The Wakeby distribution...

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Detalles Bibliográficos
Autores principales: Katchanov, Yurij L, Markova, Yulia V
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2015
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4352413/
https://www.ncbi.nlm.nih.gov/pubmed/25763305
http://dx.doi.org/10.1186/s40064-015-0821-1
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author Katchanov, Yurij L
Markova, Yulia V
author_facet Katchanov, Yurij L
Markova, Yulia V
author_sort Katchanov, Yurij L
collection PubMed
description The paper proposes a heuristic approach to modeling the cumulative distribution of citations of papers in scientific journals by means of the Wakeby distribution. The Markov process of citation leading to the Wakeby distribution is analyzed using the terminal time formalism. The Wakeby distribution is derived in the paper from the simple and general inhomogeneous Choquet–Deny convolution equation for a non-probability measure. We give statistical evidence that the Wakeby distribution is a reasonable approximation of the empirical citation distributions. AMS Subject Classification: 91D30; 91D99
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spelling pubmed-43524132015-03-11 On a heuristic point of view concerning the citation distribution: introducing the Wakeby distribution Katchanov, Yurij L Markova, Yulia V Springerplus Research The paper proposes a heuristic approach to modeling the cumulative distribution of citations of papers in scientific journals by means of the Wakeby distribution. The Markov process of citation leading to the Wakeby distribution is analyzed using the terminal time formalism. The Wakeby distribution is derived in the paper from the simple and general inhomogeneous Choquet–Deny convolution equation for a non-probability measure. We give statistical evidence that the Wakeby distribution is a reasonable approximation of the empirical citation distributions. AMS Subject Classification: 91D30; 91D99 Springer International Publishing 2015-02-26 /pmc/articles/PMC4352413/ /pubmed/25763305 http://dx.doi.org/10.1186/s40064-015-0821-1 Text en © Katchanov and Markova; licensee Springer. 2015 This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.
spellingShingle Research
Katchanov, Yurij L
Markova, Yulia V
On a heuristic point of view concerning the citation distribution: introducing the Wakeby distribution
title On a heuristic point of view concerning the citation distribution: introducing the Wakeby distribution
title_full On a heuristic point of view concerning the citation distribution: introducing the Wakeby distribution
title_fullStr On a heuristic point of view concerning the citation distribution: introducing the Wakeby distribution
title_full_unstemmed On a heuristic point of view concerning the citation distribution: introducing the Wakeby distribution
title_short On a heuristic point of view concerning the citation distribution: introducing the Wakeby distribution
title_sort on a heuristic point of view concerning the citation distribution: introducing the wakeby distribution
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4352413/
https://www.ncbi.nlm.nih.gov/pubmed/25763305
http://dx.doi.org/10.1186/s40064-015-0821-1
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