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Source‐item production laws for the case that items have multiple sources with fractional counting of credits

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  • L. Egghe

Abstract

This article extends two previous articles on the application of martingale theory to the well‐known generalized “success‐breeds‐success” principle, generalized in order to comprise also other phenomena such as “failure breeds failure” and other production rhythms. The extension lies in the fact that items are allowed to have multiple sources, in which case fractional assignment of weights is taking place. In this sense this article differs from another one in which total counts are the assignment rule. Martingale properties of Yt(q), the number of sources with a weight q at time t are studied. In addition to that, applying a steady state assumption, we develop formulae for E(P(t,q)), the expected fraction of sources with weight q at time t. We show that the irregular shapes of this function of q, which are encountered in practice, can be explained by this framework to a large extent. © 1996 John Wiley & Sons, Inc.

Suggested Citation

  • L. Egghe, 1996. "Source‐item production laws for the case that items have multiple sources with fractional counting of credits," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 47(10), pages 730-748, October.
  • Handle: RePEc:bla:jamest:v:47:y:1996:i:10:p:730-748
    DOI: 10.1002/(SICI)1097-4571(199610)47:103.0.CO;2-3
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    Cited by:

    1. Leo Egghe, 2004. "Solution of a problem of Buckland on the influence of obsolescence on scattering," Scientometrics, Springer;Akadémiai Kiadó, vol. 59(2), pages 225-232, February.
    2. Jingda Ding & Chao Liu & Qiao Zheng & Wei Cai, 2021. "A new method of co-author credit allocation based on contributor roles taxonomy: proof of concept and evaluation using papers published in PLOS ONE," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(9), pages 7561-7581, September.

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