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The h-index as an almost-exact function of some basic statistics.

Lucio Bertoli-Barsotti1, Tommaso Lando2

  • 1Department of Management, Economics and Quantitative Methods, University of Bergamo, Via dei Caniana 2, 24127 Bergamo, Italy.

Scientometrics
|October 31, 2017
PubMed
Summary

Researchers developed a new formula to accurately predict the h-index, a measure of scholarly impact, using four basic statistics. This formula offers a practical way to estimate citation impact and understand influencing factors.

Keywords:
Journal rankingLambert W functionWeibull distributionh-Index

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Area of Science:

  • Bibliometrics
  • Scientometrics
  • Scholarly Impact Analysis

Background:

  • The h-index is a widely used metric for evaluating a researcher's scientific output and citation impact.
  • While the h-index is precisely determined by citation data, its relationship with basic statistics like publication and citation counts is generally considered loose.
  • Existing methods for estimating the h-index may lack accuracy or practical applicability.

Purpose of the Study:

  • To introduce a novel formula for estimating the h-index based on four fundamental bibliometric indicators.
  • To validate the accuracy and practical utility of the proposed formula through an empirical study.
  • To compare the performance of the new formula against alternative h-index estimators.

Main Methods:

  • Development of a new formula to express the h-index as a function of four basic statistics.
  • Empirical validation using citation data from two distinct scientific fields and journal lists.
  • Comparative analysis of the proposed formula against existing h-index estimation methods.

Main Results:

  • The introduced formula accurately predicts the h-index for practical purposes.
  • The formula demonstrates strong performance across different scientific fields and journal types.
  • The new formula serves as an effective proxy for the h-index, offering insights into its determinants.

Conclusions:

  • The proposed formula provides a readily usable and accurate method for estimating the h-index.
  • This work enhances understanding of the factors influencing the h-index and their interrelationships.
  • The formula can be a valuable tool in bibliometric analysis and scholarly impact assessment.