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Citation Fall Index (CFI): An Indicator to Measure the Centripetal Nature of Accretion of Citation


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1 Department of Library and Information Science, Vidyasagar University, Midnapore – 721102, West Bengal, India
     

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That citation attracts citation and fairly-cited items quickly become highly-cited, whereas poorly-cited or uncited items are hardly cited even after a long span is a known phenomenon referred to as the ‘Cumulative Advantage’ process (“Success breeds success”). The citation distribution always shows a highly skewed pattern to a very small number of core groups. This paper has proposed a fundamental formula to measure the change in relative fall in citation count with a corresponding change in the ranking of different kinds of cited items (author, journal, article, etc.). Two new indicators are mathematically developed here, the names given to which are, Relative Citation Fall (RCF) and Citation Fall Index (CFI). These indicators will be tested for different kinds of cited items in different subject domains to quantitatively measure citation skewness in future studies.

Keywords

Citation Analysis, Citation-based Indicator, Citation Fall Index, Cumulative Advantage, Preferential Attachment, Protein Chemistry, Riemann Zeta Function.
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About The Author

Bidyarthi Dutta
Department of Library and Information Science, Vidyasagar University, Midnapore – 721102, West Bengal
India


Notifications

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  • Albarrán, P., and Ruiz‐Castillo, J. (2011). References made and citations received by scientific articles. Journal of the American Society for Information Science and Technology, 62(1), 40–49. https://doi.org/10.1002/asi.21448
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  • Ruiz-Castillo, J. and Costas, R. (2018). Individual and field citation distributions in 29 broad scientific fields. Journal of Informetrics, 12(3), 868–892. https://doi. org/10.1016/j.joi.2018.07.002
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  • Soete, L., Schneegans, S., Eröcal, D., Angathevar, B., and Rasiah, R. (2016). A world in search of an effective growth strategy. UNESCO Science Report: Towards 2030.
  • van Noorden, R., Maher, B., and Nuzzo, R. (2014). The top 100 papers. Nature News, 514(7524). https://doi. org/10.1038/514550a PMid:25355343

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  • Citation Fall Index (CFI): An Indicator to Measure the Centripetal Nature of Accretion of Citation

Abstract Views: 96  |  PDF Views: 6

Authors

Bidyarthi Dutta
Department of Library and Information Science, Vidyasagar University, Midnapore – 721102, West Bengal, India

Abstract


That citation attracts citation and fairly-cited items quickly become highly-cited, whereas poorly-cited or uncited items are hardly cited even after a long span is a known phenomenon referred to as the ‘Cumulative Advantage’ process (“Success breeds success”). The citation distribution always shows a highly skewed pattern to a very small number of core groups. This paper has proposed a fundamental formula to measure the change in relative fall in citation count with a corresponding change in the ranking of different kinds of cited items (author, journal, article, etc.). Two new indicators are mathematically developed here, the names given to which are, Relative Citation Fall (RCF) and Citation Fall Index (CFI). These indicators will be tested for different kinds of cited items in different subject domains to quantitatively measure citation skewness in future studies.

Keywords


Citation Analysis, Citation-based Indicator, Citation Fall Index, Cumulative Advantage, Preferential Attachment, Protein Chemistry, Riemann Zeta Function.

References





DOI: https://doi.org/10.17821/srels%2F2023%2Fv60i6%2F171122