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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

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

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

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

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 g index was introduced by Leo Egghe as an improvement of Hirsch's index h for measuring the overall citation record of a set of articles. It better takes into account the highly skewed frequency distribution of citations than the h…

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

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

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 Hirsch index (commonly referred to as h-index) is a bibliometric indicator which is widely recognized as effective for measuring the scientific production of a scholar since it summarizes size and impact of the research output. In a…

Statistics Theory · Mathematics 2014-07-29 Luca Pratelli , Alberto Baccini , Lucio Barabesi , Marzia Marcheselli

What is the value of a scientist and its impact upon the scientific thinking? How can we measure the prestige of a journal or of a conference? The evaluation of the scientific work of a scientist and the estimation of the quality of a…

Digital Libraries · Computer Science 2007-05-23 Antonis Sidiropoulos , Dimitrios Katsaros , Yannis Manolopoulos

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

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

The h-index is a mainstream bibliometric indicator, since it is widely used in academia, research management and research policy. While its advantages have been highlighted, such as its simple calculation, it has also received widespread…

Digital Libraries · Computer Science 2021-12-07 Grischa Fraumann , Ruediger Mutz

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

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

A new citation index $h_{PI}$ for principal investigators (PIs) is defined in analogy to Hirsch's index $h$, but based on renormalized citations of a PI's papers. To this end, the authors of a paper are divided into two groups: PIs and…

Digital Libraries · Computer Science 2018-07-18 Christoph Steinbrüchel

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 most commonly used publication metrics for individual researchers are the the total number of publications, the total number of citations, and Hirsch's $h$-index. Each of these is cumulative, and hence increases throughout a…

Digital Libraries · Computer Science 2021-05-21 Mark C. Wilson , Zhou Tang

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 impact of individual scientists is commonly quantified using citation-based measures. The most common such measure is the h-index. A scientist's h-index affects hiring, promotion, and funding decisions, and thus shapes the progress of…

Digital Libraries · Computer Science 2021-09-15 Vladlen Koltun , David Hafner
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