A simple equation for rank-citation profiles

IF 3.4 2区管理学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Informetrics Pub Date : 2025-03-25 DOI:10.1016/j.joi.2025.101660

Y.C. Tay , Akarsh Srivastava , Mostafa Rezazad , Hamid Sarbazi-Azad

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引用次数: 0

Abstract

There is considerable interest in the citation count for an author's publications. This has led to many proposals for citation indices to characterize rank-citation profiles, which order an author's publications by their citation count. However, there is so far no tractable model to facilitate the analysis of these profiles and the design of their indices. This paper presents a simple equation for such design and analysis.

The equation has three parameters that are calibrated by three geometrical characteristics of a rank-citation profile, namely the maximum number of citations for a publication (M), the number of cited publications (N), and the Hirsch index (h). The equation's simple form makes it tractable for analyzing rank-citation profiles and indices.

To demonstrate, the equation is used to derive closed-form approximations (in terms of M, N and h) for various indices; these expressions provide new insight into previous index analyses, the influence of a profile's tail, and the effect of time.

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来源期刊

Journal of Informetrics Social Sciences-Library and Information Sciences

CiteScore

6.40

自引率

16.20%

发文量

期刊介绍： Journal of Informetrics (JOI) publishes rigorous high-quality research on quantitative aspects of information science. The main focus of the journal is on topics in bibliometrics, scientometrics, webometrics, patentometrics, altmetrics and research evaluation. Contributions studying informetric problems using methods from other quantitative fields, such as mathematics, statistics, computer science, economics and econometrics, and network science, are especially encouraged. JOI publishes both theoretical and empirical work. In general, case studies, for instance a bibliometric analysis focusing on a specific research field or a specific country, are not considered suitable for publication in JOI, unless they contain innovative methodological elements.