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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

Predicting the scientific productivity of researchers is a basic task for academic administrators and funding agencies. This study provided a model for the publication dynamics of researchers, inspired by the distribution feature of…

Digital Libraries · Computer Science 2019-10-15 Zheng Xie

There is considerable interest in the citation count for an author's publications. This has led to many proposals for citation indices for characterizing citation distributions. However, there is so far no tractable model to facilitate the…

Digital Libraries · Computer Science 2022-01-13 Y. C. Tay , Mostafa Rezazad , Hamid Sarbazi-Azad

In order to take multiple co-authorship appropriately into account, a straightforward modification of the Hirsch index was recently proposed. Fractionalised counting of the papers yields an appropriate measure which is called the hm-index.…

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

When calculating citation indicators, whether it is the total number of received citations or the average citations per paper, we always face the same problem. Namely, that papers published in different years have varying citation…

Digital Libraries · Computer Science 2025-11-26 Liming Liang , Ronald Rousseau

Co-citation measurements can reveal the extent to which a concept representing a novel combination of existing ideas evolves towards a specialty. The strength of co-citation is represented by its frequency, which accumulates over time. Of…

Digital Libraries · Computer Science 2022-02-28 Sitaram Devarakonda , James Bradley , Dmitriy Korobskiy , Tandy Warnow , George Chacko

Understanding the statistical laws governing citation dynamics remains a fundamental challenge in network theory and the science of science. Citation networks typically exhibit in-degree distributions well approximated by log-normal…

Physics and Society · Physics 2025-10-14 Keisuke Okamura

It is usually assumed that the "$t$" parameter in the equations of dynamics can be identified with the indication of the pointer of a clock. Things are not so easy, however. In fact, since the equations of motion can be written in terms of…

General Relativity and Quantum Cosmology · Physics 2017-07-12 Antonio F. Rañada , A. Tiemblo

The lack of predictability of citation-based measures frequently used to gauge impact, from impact factors to short-term citations, raises a fundamental question: Is there long-term predictability in citation patterns? Here, we derive a…

Digital Libraries · Computer Science 2014-01-09 Dashun Wang , Chaoming Song , Albert-László Barabási

Ranking scientific authors is an important but challenging task, mostly due to the dynamic nature of the evolving scientific publications. The basic indicators of an author's productivity and impact are still the number of publications and…

Digital Libraries · Computer Science 2016-10-25 Dinesh Pradhan , Partha Sarathi Paul , Umesh Maheswari , Subrata Nandi , Tanmoy Chakraborty

Citations are an important indicator of the state of a scientific field, reflecting how authors frame their work, and influencing uptake by future scholars. However, our understanding of citation behavior has been limited to small-scale…

Computation and Language · Computer Science 2016-09-06 David Jurgens , Srijan Kumar , Raine Hoover , Dan McFarland , Dan Jurafsky

Appraisal of the scientific impact of researchers, teams and institutions with productivity and citation metrics has major repercussions. Funding and promotion of individuals and survival of teams and institutions depend on publications and…

Physics and Society · Physics 2015-05-13 John P. A. Ioannidis

We propose a new performance indicator to evaluate the productivity of research institutions by their disseminated scientific papers. The new quality measure includes two principle components: the normalized impact factor of the journal in…

Instrumentation and Methods for Astrophysics · Physics 2015-08-18 S. Bilir , E. Gogus , O. Onal Tas , T. Yontan

Despite the huge amount of literature on h-index, few papers have been devoted to the statistical analysis of h-index when a probabilistic distribution is assumed for citation counts. The present contribution relies on showing the available…

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

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 predictive power of the h-index has been shown to depend for a long time on citations to rather old publications. This has raised doubts about its usefulness for predicting future scientific achievements. Here I investigate a variant…

Digital Libraries · Computer Science 2015-10-23 Michael Schreiber

This paper analyzes publication efficiency in terms of Hirsch-index or h-index and total citations, with an analogy to the Carnot efficiency used in thermodynamics. Such publication efficiency, with typical value of 30%, can be utilized to…

Digital Libraries · Computer Science 2017-08-29 Abhisek Ukil

In this work we have studied the research activity for countries of Europe, Latin America and Africa for all sciences between 1945 and November 2008. All the data are captured from the Web of Science database during this period. The…

Digital Libraries · Computer Science 2008-12-30 A. D. Anastasiadis , Marcelo P. de Albuquerque , Marcio P. de Albuquerque , Diogo B. Mussi

The impact of scientific publications has traditionally been expressed in terms of citation counts. However, scientific activity has moved online over the past decade. To better capture scientific impact in the digital era, a variety of new…

Digital Libraries · Computer Science 2009-06-30 Johan Bollen , Herbert Van de Sompel , Aric Hagberg , Ryan Chute

We analyze the citation time-series of manuscripts in three different fields of science; physics, social science and technology. The evolution of the time-series of the yearly number of citations, namely the citation trajectories, diffuse…

Digital Libraries · Computer Science 2021-09-21 Maryam Zamani , Erez Aghion , Peter Pollner , Tamas Vicsek , Holger Kantz
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