NDLI: Theory and practice of the shifted Lotka function

Content Provider	Springer Nature Link
Author	Egghe, Leo Rousseau, Ronald
Copyright Year	2011
Abstract	One of the major drawbacks of the classical Lotka function is that arguments only start from the value 1. However, in many applications one may want to start from the value 0, e.g. when including zero received citations. In this article we consider the shifted Lotka function, which includes the case of zero items. Basic results for the total number of sources, the total number of items and the average number of items per source are given in this framework. Next we give the rank-frequency function (Zipf-type function) corresponding to the shifted Lotka function and prove their exact relation. The article ends with a practical example which can be fitted by a shifted Lotka function.
Starting Page	295
Ending Page	301
Page Count	7
File Format	PDF
ISSN	01389130
Journal	Scientometrics
Volume Number	91
Issue Number	1
e-ISSN	15882861
Language	English
Publisher	Springer Netherlands
Publisher Date	2011-10-15
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Shifted Lotka function Shifted Zipf function Power laws Zero citations Library Science Interdisciplinary Studies Information Storage and Retrieval
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Computer Science Applications

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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
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Theory and practice of the shifted Lotka function