IDEAS home Printed from https://ideas.repec.org/a/eee/infome/v7y2013i3p603-610.html
   My bibliography  Save this article

Two time series, their meaning and some applications

Author

Listed:
  • Rousseau, Ronald
  • Hu, Xiaojun

Abstract

Introducing and studying two types of time series, referred to as R1 and R2, we try to enrich the set of time series available for time dependent informetric studies. In a first part we focus on mathematical properties, while in a second part we check if these properties are visible in real data. This practical application uses data in the social sciences related to top Chinese universities. R1 sequences always increase over time, tending relatively fast to one, while R2 sequences have a decreasing tendency tending to zero in practical cases. They can best be used over relatively short periods of time. R1 sequences can be used to detect the rate with which cumulative data increase, while R2 sequences detect the relative rate of development.

Suggested Citation

  • Rousseau, Ronald & Hu, Xiaojun, 2013. "Two time series, their meaning and some applications," Journal of Informetrics, Elsevier, vol. 7(3), pages 603-610.
  • Handle: RePEc:eee:infome:v:7:y:2013:i:3:p:603-610
    DOI: 10.1016/j.joi.2013.03.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1751157713000266
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.joi.2013.03.006?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. Robert K. Abercrombie & Akaninyene W. Udoeyop & Bob G. Schlicher, 2012. "A study of scientometric methods to identify emerging technologies via modeling of milestones," Scientometrics, Springer;Akadémiai Kiadó, vol. 91(2), pages 327-342, May.
    2. Ye, Fred Y. & Rousseau, Ronald, 2008. "The power law model and total career h-index sequences," Journal of Informetrics, Elsevier, vol. 2(4), pages 288-297.
    3. Philip Hans Franses, 2003. "The diffusion of scientific publications: The case of Econometrica, 1987," Scientometrics, Springer;Akadémiai Kiadó, vol. 56(1), pages 29-42, January.
    4. Bettencourt, Luís M.A. & Kaiser, David I. & Kaur, Jasleen, 2009. "Scientific discovery and topological transitions in collaboration networks," Journal of Informetrics, Elsevier, vol. 3(3), pages 210-221.
    5. Chen, Chaomei & Chen, Yue & Horowitz, Mark & Hou, Haiyan & Liu, Zeyuan & Pellegrino, Donald, 2009. "Towards an explanatory and computational theory of scientific discovery," Journal of Informetrics, Elsevier, vol. 3(3), pages 191-209.
    6. Jean‐Christophe Doré & Tiiu Ojasoo, 2001. "How to analyze publication time trends by correspondence factor analysis: Analysis of publications by 48 countries in 18 disciplines over 12 years," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 52(9), pages 763-769.
    7. 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.
    8. Gregory G. Brunk, 2003. "Swarming of innovations, fractal patterns, and the historical time series of US patents," Scientometrics, Springer;Akadémiai Kiadó, vol. 56(1), pages 61-80, January.
    9. R. Rousseau, 1999. "Temporal differences in self-citation rates of scientific journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 44(3), pages 521-531, March.
    10. Ismael Rafols & Martin Meyer, 2010. "Diversity and network coherence as indicators of interdisciplinarity: case studies in bionanoscience," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 263-287, February.
    11. Bar-Ilan, Judit, 2008. "Informetrics at the beginning of the 21st century—A review," Journal of Informetrics, Elsevier, vol. 2(1), pages 1-52.
    12. Vanclay, Jerome K., 2012. "Publication patterns of award-winning forest scientists and implications for the Australian ERA journal ranking," Journal of Informetrics, Elsevier, vol. 6(1), pages 19-26.
    13. Loet Leydesdorff & Thomas Schank, 2008. "Dynamic animations of journal maps: Indicators of structural changes and interdisciplinary developments," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(11), pages 1810-1818, September.
    14. Yuxian Liu & Ronald Rousseau, 2010. "Knowledge diffusion through publications and citations: A case study using ESI-fields as unit of diffusion," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(2), pages 340-351, February.
    15. Van Looy, Bart & Callaert, Julie & Debackere, Koenraad, 2006. "Publication and patent behavior of academic researchers: Conflicting, reinforcing or merely co-existing?," Research Policy, Elsevier, vol. 35(4), pages 596-608, May.
    16. Liming Liang & Ronald Rousseau, 2009. "Bibliometric characteristics of the journal Science: Pre-Koshland, Koshland and post-Koshland period," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 359-372, August.
    17. William W. Hood & Concepción S. Wilson, 2001. "The Literature of Bibliometrics, Scientometrics, and Informetrics," Scientometrics, Springer;Akadémiai Kiadó, vol. 52(2), pages 291-314, October.
    18. Hu, Xiaojun & Rousseau, Ronald & Chen, Jin, 2011. "Time series of outgrow indices," Journal of Informetrics, Elsevier, vol. 5(3), pages 413-421.
    19. Yuxian Liu & Ronald Rousseau, 2010. "Knowledge diffusion through publications and citations: A case study using ESI‐fields as unit of diffusion," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 61(2), pages 340-351, February.
    20. Einat Amitay & David Carmel & Michael Herscovici & Ronny Lempel & Aya Soffer, 2004. "Trend detection through temporal link analysis," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 55(14), pages 1270-1281, December.
    21. William E. McGrath, 1996. "Periodicity in academic library circulation: A spectral analysis," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 47(2), pages 136-145, February.
    Full references (including those not matched with items on IDEAS)

    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. Xiaojun Hu & Ronald Rousseau & Jin Chen, 2012. "Structural indicators in citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 91(2), pages 451-460, May.
    2. Stephen Carley & Alan L. Porter, 2012. "A forward diversity index," Scientometrics, Springer;Akadémiai Kiadó, vol. 90(2), pages 407-427, February.
    3. Yang, Jinqing & Liu, Zhifeng, 2022. "The effect of citation behaviour on knowledge diffusion and intellectual structure," Journal of Informetrics, Elsevier, vol. 16(1).
    4. Goldman, Alyssa W., 2014. "Conceptualizing the interdisciplinary diffusion and evolution of emerging fields: The case of systems biology," Journal of Informetrics, Elsevier, vol. 8(1), pages 43-58.
    5. Meijun Liu & Xiao Hu & Jiang Li, 2018. "Knowledge flow in China’s humanities and social sciences," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(2), pages 607-626, March.
    6. Gregorio González-Alcaide, 2021. "Bibliometric studies outside the information science and library science field: uncontainable or uncontrollable?," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(8), pages 6837-6870, August.
    7. Rousseau, Ronald & Liu, Yuxian & Ye, Fred Y., 2012. "A preliminary investigation on diffusion through a layered system," Journal of Informetrics, Elsevier, vol. 6(2), pages 177-191.
    8. Jiancheng Guan & Wenjia Zhu, 2014. "How knowledge diffuses across countries: a case study in the field of management," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(3), pages 2129-2144, March.
    9. Su, Hsin-Ning & Moaniba, Igam M., 2017. "Investigating the dynamics of interdisciplinary evolution in technology developments," Technological Forecasting and Social Change, Elsevier, vol. 122(C), pages 12-23.
    10. Xian Li & Ronald Rousseau & Liming Liang & Fangjie Xi & Yushuang Lü & Yifan Yuan & Xiaojun Hu, 2022. "Is low interdisciplinarity of references an unexpected characteristic of Nobel Prize winning research?," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(4), pages 2105-2122, April.
    11. Ying Guo & Xiantao Xiao, 2022. "Author-level altmetrics for the evaluation of Chinese scholars," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(2), pages 973-990, February.
    12. Wang, Haiying & Moore, Jack Murdoch & Wang, Jun & Small, Michael, 2021. "The distinct roles of initial transmission and retransmission in the persistence of knowledge in complex networks," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    13. Hürlimann, Werner, 2015. "On the uniform random upper bound family of first significant digit distributions," Journal of Informetrics, Elsevier, vol. 9(2), pages 349-358.
    14. Lambiotte, R. & Panzarasa, P., 2009. "Communities, knowledge creation, and information diffusion," Journal of Informetrics, Elsevier, vol. 3(3), pages 180-190.
    15. Krzysztof Klincewicz, 2016. "The emergent dynamics of a technological research topic: the case of graphene," Scientometrics, Springer;Akadémiai Kiadó, vol. 106(1), pages 319-345, January.
    16. Guillaume Cabanac, 2012. "Shaping the landscape of research in information systems from the perspective of editorial boards: A scientometric study of 77 leading journals," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 63(5), pages 977-996, May.
    17. Bar-Ilan, Judit, 2008. "Informetrics at the beginning of the 21st century—A review," Journal of Informetrics, Elsevier, vol. 2(1), pages 1-52.
    18. Zehra Taşkın, 2021. "Forecasting the future of library and information science and its sub-fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(2), pages 1527-1551, February.
    19. Alberto Martín-Martín & Enrique Orduna-Malea & Emilio Delgado López-Cózar, 2018. "A novel method for depicting academic disciplines through Google Scholar Citations: The case of Bibliometrics," Scientometrics, Springer;Akadémiai Kiadó, vol. 114(3), pages 1251-1273, March.
    20. Zhu, Wanying & Jin, Ching & Ma, Yifang & Xu, Cong, 2023. "Earlier recognition of scientific excellence enhances future achievements and promotes persistence," Journal of Informetrics, Elsevier, vol. 17(2).

    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:eee:infome:v:7:y:2013:i:3:p:603-610. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/joi .

    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.