NDLI: Mathematical properties of weighted impact factors based on measures of prestige of the citing journals

Content Provider	Springer Nature Link
Author	Sánchez Pérez, E. A. Aleixandre Benavent, R. Ferrer Sapena, A. González, L. M. Peset, F.
Copyright Year	2015
Abstract	An abstract construction for general weighted impact factors is introduced. We show that the classical weighted impact factors are particular cases of our model, but it can also be used for defining new impact measuring tools for other sources of information—as repositories of datasets—providing the mathematical support for a new family of altmetrics. Our aim is to show the main mathematical properties of this class of impact measuring tools, that hold as consequences of their mathematical structure and does not depend on the definition of any given index nowadays in use. In order to show the power of our approach in a well-known setting, we apply our construction to analyze the stability of the ordering induced in a list of journals by the 2-year impact factor ( $$\hbox {IF}_2$$ ). We study the change of this ordering when the criterium to define it is given by the numerical value of a new weighted impact factor, in which $$\hbox {IF}_2$$ is used for defining the weights. We prove that, if we assume that the weight associated to a citing journal increases with its $$\hbox {IF}_2$$ , then the ordering given in the list by the new weighted impact factor coincides with the order defined by the $$\hbox {IF}_2$$ . We give a quantitative bound for the errors committed. We also show two examples of weighted impact factors defined by weights associated to the prestige of the citing journal for the fields of MATHEMATICS and MEDICINE, GENERAL AND INTERNAL, checking if they satisfy the “increasing behavior” mentioned above.
Ending Page	2108
Page Count	20
Starting Page	2089
File Format	PDF
ISSN	01389130
e-ISSN	15882861
Journal	Scientometrics
Issue Number	3
Volume Number	105
Language	English
Publisher	Springer Netherlands
Publisher Date	2015-09-11
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Measures of information, entropy Weighted Stability Impact factor Information Storage and Retrieval Ordering Mathematics Library Science Information theory, general Altmetrics
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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