IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v568y2021ics037843712030916x.html
   My bibliography  Save this article

Does length of hospital stay reflect power-law behavior? A q-Weibull density approach

Author

Listed:
  • Reyes-Santias, Francisco
  • Reboredo, Juan C.
  • de Assis, Edilson Machado
  • Rivera-Castro, Miguel A.

Abstract

This paper studies whether or not the distribution of the length of hospital stay data follows power-law probability. For hospitals differing in size and specialization, our evidence shows that length of stay is well fitted by power-law density, independently of hospital size. Moreover, failure rates differ across hospitals and are independent of hospital size and specialization.

Suggested Citation

  • Reyes-Santias, Francisco & Reboredo, Juan C. & de Assis, Edilson Machado & Rivera-Castro, Miguel A., 2021. "Does length of hospital stay reflect power-law behavior? A q-Weibull density approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    • Handle: RePEc:eee:phsmap:v:568:y:2021:i:c:s037843712030916x
    DOI: 10.1016/j.physa.2020.125618
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843712030916X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2020.125618?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. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    2. Costa, U.M.S. & Freire, V.N. & Malacarne, L.C. & Mendes, R.S. & Picoli Jr., S. & de Vasconcelos, E.A. & da Silva Jr., E.F., 2006. "An improved description of the dielectric breakdown in oxides based on a generalized Weibull distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 209-215.
    3. Etro, Federico & Stepanova, Elena, 2018. "Power-laws in art," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 217-220.
    4. Rumbold, Benedict E. & Smith, Judith A. & Hurst, Jeremy & Charlesworth, Anita & Clarke, Aileen, 2015. "Improving productive efficiency in hospitals: findings from a review of the international evidence," Health Economics, Policy and Law, Cambridge University Press, vol. 10(1), pages 21-43, January.
    5. Juan C. Reboredo & Miguel A. Rivera-Castro & Edilson Machado de Assis, 2014. "Power-law behaviour in time durations between extreme returns," Quantitative Finance, Taylor & Francis Journals, vol. 14(12), pages 2171-2183, December.
    6. Xu, Xiao-Ting & Wang, Nianxin & Bian, Jun & Zhou, Bin, 2019. "Understanding the diversity on power-law-like degree distribution in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 576-581.
    7. Xiang Jia & Saralees Nadarajah & Bo Guo, 2020. "Inference on q-Weibull parameters," Statistical Papers, Springer, vol. 61(2), pages 575-593, April.
    8. Hyunyoung Baek & Minsu Cho & Seok Kim & Hee Hwang & Minseok Song & Sooyoung Yoo, 2018. "Analysis of length of hospital stay using electronic health records: A statistical and data mining approach," PLOS ONE, Public Library of Science, vol. 13(4), pages 1-16, April.
    9. Ferreira, Ronan S. & da Silva, Priscila C.A., 2020. "q-Weibull distributions describing commercial service routes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    10. Xu, Meng & Droguett, Enrique López & Lins, Isis Didier & das Chagas Moura, Márcio, 2017. "On the q-Weibull distribution for reliability applications: An adaptive hybrid artificial bee colony algorithm for parameter estimation," Reliability Engineering and System Safety, Elsevier, vol. 158(C), pages 93-105.
    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. Xiang Jia & Saralees Nadarajah & Bo Guo, 2020. "Inference on q-Weibull parameters," Statistical Papers, Springer, vol. 61(2), pages 575-593, April.
    2. Abduraimova, Kumushoy, 2022. "Contagion and tail risk in complex financial networks," Journal of Banking & Finance, Elsevier, vol. 143(C).
    3. SAITO Yukiko, 2013. "Role of Hub Firms in Geographical Transaction Network," Discussion papers 13080, Research Institute of Economy, Trade and Industry (RIETI).
    4. Foellmi, Reto & Martínez, Isabel Z., 2014. "Volatile Top Income Shares in Switzerland? Reassessing the Evolution Between 1981 and 2009," CEPR Discussion Papers 10006, C.E.P.R. Discussion Papers.
    5. Dominik Prochniewicz & Jacek Kudrys & Kamil Maciuk, 2022. "Noises in Double-Differenced GNSS Observations," Energies, MDPI, vol. 15(5), pages 1-18, February.
    6. María Jose Aragon Aragon & Adriana Castelli & James Gaughan, 2017. "Hospital Trusts productivity in the English NHS: Uncovering possible drivers of productivity variations," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-14, August.
    7. Ross Richardson & Matteo G. Richiardi & Michael Wolfson, 2015. "We ran one billion agents. Scaling in simulation models," LABORatorio R. Revelli Working Papers Series 142, LABORatorio R. Revelli, Centre for Employment Studies.
    8. Igor Fedotenkov, 2020. "A Review of More than One Hundred Pareto-Tail Index Estimators," Statistica, Department of Statistics, University of Bologna, vol. 80(3), pages 245-299.
    9. Harmenberg, Karl, 2024. "A simple theory of Pareto-distributed earnings," Economics Letters, Elsevier, vol. 234(C).
    10. Da Silva, Sergio, 2009. "Does Macroeconomics Need Microeconomic Foundations?," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-11.
    11. Chen, Zhimin & Ibragimov, Rustam, 2019. "One country, two systems? The heavy-tailedness of Chinese A- and H- share markets," Emerging Markets Review, Elsevier, vol. 38(C), pages 115-141.
    12. Joachim Hubmer, 2018. "The Job Ladder and its Implications for Earnings Risk," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 29, pages 172-194, July.
    13. Per Krusell & Anthony Smith & Joachim Hubmer, 2015. "The historical evolution of the wealth distribution: A quantitative-theoretic investigation," 2015 Meeting Papers 1406, Society for Economic Dynamics.
    14. Lyócsa, Štefan & Výrost, Tomáš, 2018. "Scale-free distribution of firm-size distribution in emerging economies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 501-505.
    15. Kwame Boamah‐Addo & Tomasz J. Kozubowski & Anna K. Panorska, 2023. "A discrete truncated Zipf distribution," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 77(2), pages 156-187, May.
    16. Xavier Gabaix & Jean‐Michel Lasry & Pierre‐Louis Lions & Benjamin Moll, 2016. "The Dynamics of Inequality," Econometrica, Econometric Society, vol. 84, pages 2071-2111, November.
    17. A. B. Atkinson, 2017. "Pareto and the Upper Tail of the Income Distribution in the UK: 1799 to the Present," Economica, London School of Economics and Political Science, vol. 84(334), pages 129-156, April.
    18. di Giovanni, Julian & Levchenko, Andrei A. & Rancière, Romain, 2011. "Power laws in firm size and openness to trade: Measurement and implications," Journal of International Economics, Elsevier, vol. 85(1), pages 42-52, September.
    19. Blank, Sven & Buch, Claudia M. & Neugebauer, Katja, 2009. "Shocks at large banks and banking sector distress: The Banking Granular Residual," Journal of Financial Stability, Elsevier, vol. 5(4), pages 353-373, December.
    20. Polanski, Arnold & Stoja, Evarist, 2017. "Forecasting multidimensional tail risk at short and long horizons," International Journal of Forecasting, Elsevier, vol. 33(4), pages 958-969.

    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:phsmap:v:568:y:2021:i:c:s037843712030916x. 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.