IDEAS home Printed from https://ideas.repec.org/a/spr/scient/v60y2004i3d10.1023_bscie.0000034390.96418.bf.html
   My bibliography  Save this article

Positive reinforcement and 3-dimensional informetrics

Author

Listed:
  • Leo Egghe

    (Limburgs Universitair Centrum (LUC), Universitaire Campus)

Abstract

We show that the composition of two information production processes (IPPs), where the items of the first IPP are the sources of the second, and where the ranks of the sources in the first IPP agree with the ranks of the sources in the second IPP, yields an IPP which is positively reinforced with respect to the first IPP. This means that the rank-frequency distribution of the composition is the composition of the rank-frequency distribution of the first IPP and an increasing function φ, which is explicitly calculable from the two IPPs' distributions. From the rank-frequency distribution of the composition, we derive its size-frequency distribution in terms of the size-frequency distribution of the first IPP and of the function φ. The paper also relates the concentration of the reinforced IPP to that of the original one. This theory solves part of the problem of the determination of a third IPP from two given ones (so-called three-dimensional informetrics). In this paper we solved the “linear” case, i.e., where the third IPP is the composition of the other two IPPs.

Suggested Citation

  • Leo Egghe, 2004. "Positive reinforcement and 3-dimensional informetrics," Scientometrics, Springer;Akadémiai Kiadó, vol. 60(3), pages 497-509, August.
    • Handle: RePEc:spr:scient:v:60:y:2004:i:3:d:10.1023_b:scie.0000034390.96418.bf
    DOI: 10.1023/B:SCIE.0000034390.96418.bf
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/B:SCIE.0000034390.96418.bf
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/B:SCIE.0000034390.96418.bf?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ronald Rousseau, 1992. "Concentration and diversity of availability and use in information systems: A positive reinforcement model," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 43(5), pages 391-395, June.
    2. S. R. Coleman, 1992. "The laboratory as a productivity and citation unit in the publications of an experimental‐psychology specialty," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 43(9), pages 639-643, October.
    3. Fellman, J, 1976. "The Effect of Transformations on Lorenz Curves," Econometrica, Econometric Society, vol. 44(4), pages 823-824, July.
    4. L. Egghe & R. Rousseau, 1991. "Transfer principles and a classification of concentration measures," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 42(7), pages 479-489, August.
    5. Carole J. Mankin & Jacqueline D. Bastille, 1981. "An analysis of the differences between density‐of‐use ranking and raw‐use ranking of library journal use," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 32(3), pages 224-228, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Elias Sanz-Casado & Carlos García-Zorita & Ronald Rousseau, 2016. "Using h-cores to study the most-cited articles of the twenty-first century," Scientometrics, Springer;Akadémiai Kiadó, vol. 108(1), pages 243-261, July.
    2. Egghe, L., 2007. "General evolutionary theory of information production processes and applications to the evolution of networks," Journal of Informetrics, Elsevier, vol. 1(2), pages 115-122.
    3. Bar-Ilan, Judit, 2008. "Informetrics at the beginning of the 21st century—A review," Journal of Informetrics, Elsevier, vol. 2(1), pages 1-52.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Qiuju Zhou & Ronald Rousseau & Liying Yang & Ting Yue & Guoliang Yang, 2012. "A general framework for describing diversity within systems and similarity between systems with applications in informetrics," Scientometrics, Springer;Akadémiai Kiadó, vol. 93(3), pages 787-812, December.
    2. Benabou, Roland, 2005. "Inequality, Technology and the Social Contract," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 25, pages 1595-1638, Elsevier.
    3. Chakravarty, Satya R. & Sarkar, Palash, 2022. "A synthesis of local and effective tax progressivity measurement," MPRA Paper 115180, University Library of Munich, Germany.
    4. R. Bénabou & E. Ok, 2000. "Mobility as Progressivity: Ranking Income Processes According to Equality of Opportunity," Princeton Economic Theory Papers 00f1, Economics Department, Princeton University.
    5. Carbonell-Nicolau, Oriol & Llavador, Humberto, 2018. "Inequality reducing properties of progressive income tax schedules: the case of endogenous income," Theoretical Economics, Econometric Society, vol. 13(1), January.
    6. Higgins, Sean & Lustig, Nora, 2016. "Can a poverty-reducing and progressive tax and transfer system hurt the poor?," Journal of Development Economics, Elsevier, vol. 122(C), pages 63-75.
    7. Biung-Ghi Ju & Juan Moreno-Ternero, 2011. "Progressive and merging-proof taxation," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 43-62, February.
    8. Achille VERNIZZI & Maria Giovanna MONTI & Marek KOSNY, 2006. "An overall inequality reducing and horizontally equitable tax system with application to Polish data," Departmental Working Papers 2006-15, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    9. repec:zbw:hohpro:331 is not listed on IDEAS
    10. Moyes, Patrick, 2003. "Redistributive effects of minimal equal sacrifice taxation," Journal of Economic Theory, Elsevier, vol. 108(1), pages 111-140, January.
    11. Enrico Rubolino & Daniel Waldenström, 2020. "Tax progressivity and top incomes evidence from tax reforms," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(3), pages 261-289, September.
    12. Fuyuki Yoshikane & Yutaka Suzuki & Keita Tsuji, 2012. "Analysis of the relationship between citation frequency of patents and diversity of their backward citations for Japanese patents," Scientometrics, Springer;Akadémiai Kiadó, vol. 92(3), pages 721-733, September.
    13. Oriol Carbonell-Nicolau & Humberto Llavador, 2024. "Social Preorders and Tax Progressivity," Working Papers 1459, Barcelona School of Economics.
    14. Contoyannis, Paul & Forster, Martin, 1999. "The distribution of health and income: a theoretical framework," Journal of Health Economics, Elsevier, vol. 18(5), pages 603-620, October.
    15. Sami Bibi & Jean-Yves Duclos & Abdelkrim Araar, 2014. "Mobility, taxation and welfare," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(3), pages 503-527, March.
    16. Oriol Carbonell-Nicolau & Humberto Llavador, 2021. "Inequality, Bipolarization, and Tax Progressivity," American Economic Journal: Microeconomics, American Economic Association, vol. 13(4), pages 492-513, November.
    17. Julio López Laborda & Carmen Marín González & Jorge Onrubia, 2018. "Tipo reducido, superreducido y exenciones en el IVA: una estimación de sus efectos recaudatorios y distributivos a partir de las encuestas de hogares," Studies on the Spanish Economy eee2018-23, FEDEA.
    18. Daniela Mantovani & Simone Pellegrino & Achille Vernizzi, 2020. "A note on the maximum value of the Kakwani index," Empirical Economics, Springer, vol. 58(2), pages 869-874, February.
    19. Lambert Peter J. & Thoresen Thor O., 2012. "The Inequality Effects of a Dual Income Tax System," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 12(1), pages 1-17, July.
    20. Rodríguez, Juan Gabriel & Salas, Rafael, 2014. "The Gini coefficient: Majority voting and social welfare," Journal of Economic Theory, Elsevier, vol. 152(C), pages 214-223.
    21. Ebert, Udo & Moyes, Patrick, 2000. "Consistent Income Tax Structures When Households Are Heterogeneous," Journal of Economic Theory, Elsevier, vol. 90(1), pages 116-150, January.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:scient:v:60:y:2004:i:3:d:10.1023_b:scie.0000034390.96418.bf. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.