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The citation distribution of a researcher shows the impact of their production and determines the success of their scientific career. However, its application in scientific evaluation is difficult due to the bi-dimensional character of the…

Digital Libraries · Computer Science 2013-04-19 Pablo Dorta-Gonzalez , Maria Isabel Dorta-Gonzalez

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

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

How to quantify the impact of a researcher's or an institution's body of work is a matter of increasing importance to scientists, funding agencies, and hiring committees. The use of bibliometric indicators, such as the h-index or the…

Physics and Society · Physics 2016-02-17 João A. G. Moreira , Xiao Han T. Zeng , Luís A. Nunes Amaral

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

Many different citation-based indicators are used by researchers and research evaluators to help evaluate the impact of scholarly outputs. Although the appropriateness of individual citation indicators depends in part on the statistical…

Digital Libraries · Computer Science 2016-07-15 Mike Thelwall

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

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

We study the distributions of citations received by a single publication within several disciplines, spanning broad areas of science. We show that the probability that an article is cited $c$ times has large variations between different…

Physics and Society · Physics 2008-11-04 Filippo Radicchi , Santo Fortunato , Claudio Castellano

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 Harmonic Mean between the number of papers and the citation number per paper is proposed as a simple single-value index to quantify an individual's research output. Two simple comparisons with the Hirsch h-index are performed.

Digital Libraries · Computer Science 2020-10-05 Massimo Germano

The two most used citation impact indicators in the assessment of scientific journals are, nowadays, the impact factor and the h-index. However, both indicators are not field normalized (vary heavily depending on the scientific category)…

Digital Libraries · Computer Science 2015-10-14 Sara M. Gonzalez-Betancor , Pablo Dorta-Gonzalez

Braun et al. (2006) recommended using the h-index as an alternative to the journal impact factor (IF) to qualify journals. In this paper, a Bayesian-based sensitivity analysis is performed with the aid of mathematical models to examine the…

Applications · Statistics 2017-08-29 Chrisovalantis Malesios

In this paper we present "citation success index", a metric for comparing the citation capacity of pairs of journals. Citation success index is the probability that a random paper in one journal has more citations than a random paper in…

Digital Libraries · Computer Science 2016-12-23 Staša Milojević , Filippo Radicchi , Judit Bar-Ilan

In their article 'The inconsistency of the h-index' Ludo Waltman and Nees Jan van Neck give three examples to demonstrate the inconsistency of the h-index. As will be explained, a little extension of their examples just illustrate the…

Physics and Society · Physics 2011-09-27 Leo Waaijers

The citations to a set of academic articles are typically unevenly shared, with many articles attracting few citations and few attracting many. It is important to know more precisely how citations are distributed in order to help…

Digital Libraries · Computer Science 2015-11-02 Mike Thelwall , Paul Wilson

There are various mathematical models proposed in the recent literature for estimating the h-index through bibliometric measures, such as number of articles (P) and citations received (C). These models have been previously empirically…

Digital Libraries · Computer Science 2017-08-29 Chrisovalantis Malesios

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

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

Many discussions have enlarged the literature in Bibliometrics since the Hirsh proposal, the so called $h$-index. Ranking papers according to their citations, this index quantifies a researcher only by its greatest possible number of papers…

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