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I propose to sharpen the index h, proposed by Hirsch as a useful index to characterize the scientific output of a researcher, by excluding the self-citations. Performing a self-experiment and also analyzing two anonymous data sets, it is…

Physics and Society · Physics 2007-05-23 Michael Schreiber

Hirsch has introduced the h-index to quantify an individual's scientific research output by the largest number h of a scientist's papers that received at least h citations. In order to take into account the highly skewed frequency…

Physics and Society · Physics 2013-01-31 Michael Schreiber

The h index was introduced by Hirsch to quantify an individual's scientific research output. It has been widely used in different fields to show the relevance of the research work of prominent scientists. I have worked out 26 practical…

Physics and Society · Physics 2008-11-26 Michael Schreiber

J. E. Hirsch (2005) introduced the h-index to quantify an individual's scientific research output by the largest number h of a scientist's papers, that received at least h citations. This so-called Hirsch index can be easily modified to…

Physics and Society · Physics 2013-01-31 Michael Schreiber

A few new indices to characterize the scientific output of scientists are defined in the paper. These indices are compared with -index and its alternative indices using some proven assertions. The gd-indices are introduced as extensions of…

Digital Libraries · Computer Science 2023-03-27 Romeo Mestrovic , Branislav Dragovic

The h-index has become a widely used metric for evaluating the productivity and citation impact of researchers. Introduced by physicist Jorge E. Hirsch in 2005, the h-index measures both the quantity (number of publications) and quality…

Digital Libraries · Computer Science 2025-03-19 Ali Borji

The definition of the g-index is as arbitrary as that of the h-index, because the threshold number g^2 of citations to the g most cited papers can be modified by a prefactor at one's discretion, thus taking into account more or less of the…

Physics and Society · Physics 2013-04-04 Michael Schreiber

The Hirsch index or h-index is widely used to quantify the impact of an individual's scientific research output, determining the highest number h of a scientist's papers that received at least h citations. Several variants of the index have…

Physics and Society · Physics 2015-05-19 Michael Schreiber

We present a simple generalization of Hirsch's h-index, Z = \sqrt{h^{2}+C}/\sqrt{5}, where C is the total number of citations. Z is aimed at correcting the potentially excessive penalty made by h on a scientist's highly cited papers,…

Physics and Society · Physics 2013-08-28 Alexander M. Petersen , Sauro Succi

In order to characterize the scientific output of scientists, in this paper we define the harmonic har-index whose values are positive integers. It is proved that $h \leq har \leq g$, where h is the Hirsch index and g is the Egghe index.…

History and Overview · Mathematics 2023-09-01 Romeo Mestrovic

The h-index -- the value for which an individual has published at least h papers with at least h citations -- has become a popular metric to assess the citation impact of scientists. As already noted in the original work of Hirsch and as…

Data Analysis, Statistics and Probability · Physics 2010-03-18 S. Redner

In this paper, we propose a measure to assess scientific impact that discounts self-citations and does not require any prior knowledge on the their distribution among publications. This index can be applied to both researchers and journals.…

Digital Libraries · Computer Science 2013-10-17 Emilio Ferrara , Alfonso E. Romero

The arbitrariness of the h-index becomes evident, when one requires q*h instead of h citations as the threshold for the definition of the index, thus changing the size of the core of the most influential publications of a dataset. I analyze…

Physics and Society · Physics 2013-02-28 Michael Schreiber

In order to advance academic research, it is important to assess and evaluate the academic influence of researchers and the findings they produce. Citation metrics are universally used methods to evaluate researchers. Amongst the several…

Digital Libraries · Computer Science 2023-05-18 Aashay Singhal , Kamalakar Karlapalem

Use of the Hirsch-index ($h$) as measure of an author's visibility in the scientific literature has become popular as an alternative to a gross measure like total citations (c). I show that, at least in astrophysics, $h$ correlates tightly…

Instrumentation and Methods for Astrophysics · Physics 2012-02-02 H. C. Spruit

The h-index was introduced by the physicist J.E. Hirsch in 2005 as measure of a researcher's productivity. We consider the "combinatorial Fermi problem" of estimating h given the citation count. Using the Euler-Gauss identity for integer…

History and Overview · Mathematics 2014-10-03 Alexander Yong

The use Hirsch's h-index as a joint proxy of the impact and productivity of a scientist's research work continues to gain ground, accompanied by the efforts of bibliometrists to resolve some of its critical issues, through the application…

Digital Libraries · Computer Science 2018-11-06 Giovanni Abramo , Ciriaco Andrea D'Angelo , Fulvio Viel

The characteristics of the $h$-index in the field of condensed matter physics are studied using high-quality data from ResearcherID. The results are examined in terms of theoretical descriptions of the $h$-index' overall dependence on a…

Digital Libraries · Computer Science 2019-02-19 Anna Tietze , Philip Hofmann

Citation numbers and other quantities derived from bibliographic databases are becoming standard tools for the assessment of productivity and impact of research activities. Though widely used, still their statistical properties have not…

Physics and Society · Physics 2013-12-17 Filippo Radicchi , Claudio Castellano

The h-index is a popular bibliometric indicator for assessing individual scientists. We criticize the h-index from a theoretical point of view. We argue that for the purpose of measuring the overall scientific impact of a scientist (or some…

Digital Libraries · Computer Science 2011-08-22 Ludo Waltman , Nees Jan van Eck
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