Title




Conjugate partitions in informetrics: Lorenz curves, htype indices, Ferrers graphs and Durfee squares in a discrete and continuous setting
 
Author




 
Abstract




The wellknown discrete theory of conjugate partitions, Ferrers graphs and Durfee squares is interpreted in informetrics. It is shown that partitions and their conjugates have the same hindex, a fact that is not true for the g and Rindex. A modification of Ferrers graph is presented, yielding the gindex. We then present a formula for the Lorenz curve of the conjugate partition in function of the Lorenz curve of the original partition in the discrete setting. Ferrers graphs, Durfee squares and conjugate partitions are then defined in the continuous setting where variables range over intervals. Conjugate partitions are nothing else than the inverses of rankfrequency functions in informetrics. Also here they have the same hindex and we can again give a formula for the Lorenz curve of the conjugate partition in function of the Lorenz curve of the original partition. Calculatory examples are given where these Lorenz curves are equal and where one Lorenz curve dominates the other one. We also prove that the Lorenz curve of a partition and the one of its conjugate can intersect on the open interval ]0,1[. 
 
Language




English
 
Source (journal)




Journal of informetrics.  Amsterdam
 
Publication




Amsterdam
:
2010
 
ISSN




17511577
 
Volume/pages




4
:3
(2010)
, p. 320330
 
ISI




000278543600011
 
Full text (Publisher's DOI)




 
Full text (publisher's version  intranet only)




 
