Title : ( Properties of the Leimkuhler curve with its application in JCR )
Authors: vahideh asghari , Gholam Reza Mohtashami Borzadaran , Hadi Jabbari Nooghabi ,Access to full-text not allowed by authors
Abstract
One of the most noticeable ways of illustrating the degree of concentration in a theoretical or empirical frequency distribution is via the Leimkuhler curve. Leimkuhler curve is particularly appropriate in the field of informetrics where the variable of interest is the number of citations, relevant references, borrowing of a monograph, etc. In informetrics, interest usually focuses on the most productive sources, and the equivalent graphical representation is via the Leimkuhler curve. In this paper, some statistical properties of the Leimkuhler curve, a plot of the cumulative proportions of total productivity against the cumulative proportions of sources, where the sources are ordered non-increasingly concerning their productivity levels are discussed. Also, some aspects of the Leimkuhler curve and its connection with other criteria are derived. Finally, several concentration measures are obtained using the data of the impact factors in eight scientific fields.
Keywords
, Leimkuhler curve, Lorenz curve, Gini index, Weighted distribution, Distortion function, Tail value at risk, Inverse distribution function.@article{paperid:1092656,
author = {Asghari, Vahideh and Mohtashami Borzadaran, Gholam Reza and Jabbari Nooghabi, Hadi},
title = {Properties of the Leimkuhler curve with its application in JCR},
journal = {Statistics, Optimization and Information Computing},
year = {2025},
volume = {14},
number = {4},
month = {September},
issn = {2311-004X},
pages = {1625--1639},
numpages = {14},
keywords = {Leimkuhler curve; Lorenz curve; Gini index; Weighted distribution; Distortion function; Tail value at
risk; Inverse distribution function.},
}
%0 Journal Article
%T Properties of the Leimkuhler curve with its application in JCR
%A Asghari, Vahideh
%A Mohtashami Borzadaran, Gholam Reza
%A Jabbari Nooghabi, Hadi
%J Statistics, Optimization and Information Computing
%@ 2311-004X
%D 2025
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