Computer Science  Science Policy

Bounds and Inequalities Relating hIndex, gIndex, eIndex and Generalized Impact Factor: An Improvement over Existing Models
Published:
Wednesday, April 04, 2012
Author:
Ash Mohammad Abbas
by Ash Mohammad Abbas
In this paper, we describe some bounds and inequalities relating index, index, 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. We verify the theorems using citation data for five Price Medalists. We observe that the lower bound for index given by Theorem 2, , comes out to be more accurate as compared to SchubertGlanzel relation for a proportionality constant of , where is the number of citations and is the number of papers referenced. Also, the values of index obtained using Theorem 2 outperform those obtained using EggheLiangRousseau power law model for the given citation data of Price Medalists. Further, we computed the values of upper bound on index given by Theorem 3, , where denotes the value of index. We observe that the upper bound on index given by Theorem 3 is reasonably tight for the given citation record of Price Medalists.
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