The Ratio Model of h-index and e-index in Publication Citation Distribution with Theoretical Analysis

Abstract

Abstract:

Two models, namely, the shifted power function (SPF) and the decreasing exponential function (DEF), are introduced to estimate the ratio of e-index and h-index (e/h) in publication-citation distribution. With data from perspectives of discipline, journal, country and institution, it is revealed that
SPF overestimates e/h while DEF underestimates e/h. Deeper analysis finds that the high randomness of sample points in h-core is the main factor affecting models’ accuracy. Considering h-core’s small proportion in the entire publication-citation distribution, and the good property of SPF and DEF for the
oretical analysis, it concludes that ratio models of e-index and h-index can be used as general theoretical references.

Key words:

e-index, h-index, Ratio model, The shifted power function, The decreasing exponential function

Eric P. Qi, Fred Y. Ye. The Ratio Model of h-index and e-index in Publication Citation Distribution with Theoretical Analysis[J]. Libraly Journal, 2017, 36(5): 62-71.

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