Fundamental properties of rhythm sequences

Leo Egghe, Liming Liang and Ronald Rousseau

Journal of the American Society for Information Science and Technology, 2008, vol. 59, issue 9, 1469-1478

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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:bla:jamist:v:59:y:2008:i:9:p:1469-1478

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