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Fundamental properties of rhythm sequences

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  • Leo Egghe
  • Liming Liang
  • Ronald Rousseau

Abstract

Fundamental mathematical properties of rhythm sequences are studied. In particular, a set of three axioms for valid rhythm indicators is proposed, and it is shown that the R‐indicator satisfies only two out of three but that the R′‐indicator satisfies all three. This fills a critical, logical gap in the study of these indicator sequences. Matrices leading to a constant R′‐sequence are called baseline matrices. They are characterized as matrices with constant w‐year diachronous impact factors. The relation with classical impact factors is clarified. Using regression analysis matrices with a rhythm sequence that is on average equal to 1 (smaller than 1, larger than 1) are characterized.

Suggested Citation

  • Leo Egghe & Liming Liang & Ronald Rousseau, 2008. "Fundamental properties of rhythm sequences," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(9), pages 1469-1478, July.
    • Handle: RePEc:bla:jamist:v:59:y:2008:i:9:p:1469-1478
    DOI: 10.1002/asi.20844
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    Cited by:

    1. Liming Liang & Zhen. Zhong & Yue Chen, 2021. "A Chinese professor’s academic career rhythm," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 6169-6186, July.
    2. Liu, Yuxian & Rousseau, Ronald, 2008. "Definitions of time series in citation analysis with special attention to the h-index," Journal of Informetrics, Elsevier, vol. 2(3), pages 202-210.
    3. Liang, Liming & Rousseau, Ronald, 2010. "Measuring a journal's input rhythm based on its publication–reference matrix," Journal of Informetrics, Elsevier, vol. 4(2), pages 201-209.

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