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Turing's estimator allows one to estimate the probabilities of outcomes that either do not appear or only rarely appear in a given random sample. We perform a simulation study to understand the finite sample performance of several related…

Statistics Theory · Mathematics 2025-03-19 Jie Chang , Michael Grabchak , Jialin Zhang

The question of citation behavior has always intrigued scientists from various disciplines. While general citation patterns have been widely studied in the literature we develop the notion of citation projection graphs by investigating the…

Digital Libraries · Computer Science 2010-04-21 Xiaolin Shi , Jure Leskovec , Daniel A. McFarland

Using the InCites tool of Thomson Reuters, this study compares normalized citation impact values calculated for China, Japan, France, Germany, United States, and the UK throughout the time period from 1981 to 2010. The citation impact…

Digital Libraries · Computer Science 2012-05-04 Lutz Bornmann , Loet Leydesdorff

Fidelity estimation for entangled states constitutes an essential building block for quality control and error detection in quantum networks. Nonetheless, quantum networks often encounter heterogeneous and correlated noise, leading to…

Quantum Physics · Physics 2024-11-18 Liangzhong Ruan , Bas Dirkse

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

This paper explores a new indicator of journal citation impact, denoted as source normalized impact per paper (SNIP). It measures a journal's contextual citation impact, taking into account characteristics of its properly defined subject…

Digital Libraries · Computer Science 2009-11-16 Henk F. Moed

Empirical evidence demonstrates that citations received by scholarly publications follow a pattern of preferential attachment, resulting in a power-law distribution. Such asymmetry has sparked significant debate regarding the use of…

Digital Libraries · Computer Science 2023-12-04 Diego Kozlowski1 , Jens Peter Andersen , Vincent Larivière

Confidence interval of mean is often used when quoting statistics. The same rigor is often missing when quoting percentiles and tolerance or percentile intervals. This article derives the expression for confidence in percentiles of a sample…

Methodology · Statistics 2024-03-01 Sanjay M. Joshi

Citation and publication profiles are gaining importance for the evaluation of top researchers when it comes to the appropriation of funding for excellence programs or career promotion judgments. Indicators like the Normalized Mean Citation…

Digital Libraries · Computer Science 2013-07-26 Lucy Amez , Nadine Rons

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

Conformal prediction is a statistically rigorous method for quantifying uncertainty in models by having them output sets of predictions, with larger sets indicating more uncertainty. However, prediction sets are not inherently actionable;…

Machine Learning · Computer Science 2025-02-17 Jesse C. Cresswell , Bhargava Kumar , Yi Sui , Mouloud Belbahri

Impact factors (and similar measures such as the Scimago Journal Rankings) suffer from two problems: (i) citation behavior varies among fields of science and therefore leads to systematic differences, and (ii) there are no statistics to…

Digital Libraries · Computer Science 2010-04-27 Loet Leydesdorff , Tobias Opthof

Deep learning has had a great impact on various fields of computer science by enabling data-driven representation learning in a decade. Because science and technology policy decisions for a nation can be made on the impact of each…

Digital Libraries · Computer Science 2025-03-19 Keiichi Ochiai , Yutaka Matsuo

We address the question how citation-based bibliometric indicators can best be normalized to ensure fair comparisons between publications from different scientific fields and different years. In a systematic large-scale empirical analysis,…

Digital Libraries · Computer Science 2013-04-03 Ludo Waltman , Nees Jan van Eck

Using bibliometric data artificially generated through a model of citation dynamics calibrated on empirical data, we compare several indicators for the scientific impact of individual researchers. The use of such a controlled setup has the…

Physics and Society · Physics 2016-09-21 Matus Medo , Giulio Cimini

We study the frequentist properties of confidence intervals computed by the method known to statisticians as the Profile Likelihood. It is seen that the coverage of these intervals is surprisingly good over a wide range of possible…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Wolfgang A. Rolke , Angel M. Lopez , Jan Conrad

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

This note points out how confidence interval estimates for standard deviation transform into confidence interval estimates for the power of F-tests at fixed alternative means. An application is shown for the test of a two-sided hypothesis…

Statistics Theory · Mathematics 2014-05-13 Ali Akbar Jafari , Abdollreza Bazargan-Lari , Mingfei

The purpose of this study is to compare the changing behavior of two counting methods (whole counting and whole-normalized counting) and inflation rate at country level research productivity and impact. For this, publication data on…

Digital Libraries · Computer Science 2014-10-14 B. Elango , P. Rajendran

Confidence intervals are an established means of portraying uncertainty about an inferred parameter and can be generated through the use of confidence distributions. For a confidence distribution to be ideal, it must maintain frequentist…

Methodology · Statistics 2022-06-16 Alexander Wimbush , Nicholas Gray , Scott Ferson
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