Bounds and Inequalities Relating h-Index, g-Index, e-Index and Generalized Impact Factor

Finding relationships among different indices such as h-index, g-index, e-index, and generalized impact factor is a challenging task. In this paper, we describe some bounds and inequalities relating h-index, g-index, e-index, and generalized impact factor. We derive the bounds and inequalities relating these indexing parameters from their basic definitions and without assuming any continuous model to be followed by any of them.Comment: 17 pages, 6 figures, 5 table

Individual and Field Citation Distributions in 29 Broad Scientific Fields

Using a large unique dataset consisting of 35.1 million authors and 105.3 million articles published in the period 2000-2016, which are classified into 29 broad scientific fields, we search for regularities at the individual level for very productive authors with citation distributions of a certain size, and for the existence of a macro-micro relationship between the characteristics of a scientific field citation distribution and the characteristics of the individual citation distributions of the authors belonging to the field. Our main results are the following three. Firstly, although the skewness of individual citation distributions varies greatly within each field, their average skewness is of a similar order of magnitude in all fields. Secondly, as in the previous literature, field citation distributions are highly skewed and the degree of skewness is very similar across fields. Thirdly, the skewness of field citation distributions is essentially explained in terms of the average skewness of individual authors, as well as individuals’ differences in mean citation rates and the number of publications per author. These results have important conceptual and practical consequences: to understand the skewness of field citation distributions at any aggregate level we must simply explain the skewness of the individual citation distributions of their very productive authors.This is the second version of a paper with the same title published in this series in January 2018. J. Ruiz-Castillo acknowledges financial support from the Spanish MEC through grants ECO2014-55953-P and MDM 2014-0431, as well as grant MadEco-CM (S2015/HUM-3444) from the Comunidad Autónoma de Madrid. Research assistantship by Patricia Llopis, as well as conversations with Ricardo Mora, and especially Vincent Traag, are gratefully acknowledged. All remaining shortcomings are the authors’ sole responsibility

Basic Research and Prosperity: Sampling and Selection of Technological Possibilities and of Scientific Hypotheses as an Alternative Engine of Endogenous Growth

FSW - CWTS - Ou

The role of the h-index and the characteristic scores and scales in testing the tail properties of scientometric distributions

The tail properties of scientometric distributions are studied in the light of the h-index and the characteristic scores and scales. A statistical test for the h-core is presented and illustrated using the example of four selected authors. Finally, the mathematical relationship between the h-index and characteristic scores and scales is analysed. The results give new insights into important properties of rank-frequency and extreme-value statistics derived from scientometric and informetric processes.status: publishe