IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v461y2016icp339-354.html
   My bibliography  Save this article

Beyond lognormal inequality: The Lorenz Flow Structure

Author

Listed:
  • Eliazar, Iddo

Abstract

Observed from a socioeconomic perspective, the intrinsic inequality of the lognormal law happens to manifest a flow generated by an underlying ordinary differential equation. In this paper we extend this feature of the lognormal law to a general “Lorenz Flow Structure” of Lorenz curves–objects that quantify socioeconomic inequality. The Lorenz Flow Structure establishes a general framework of size distributions that span continuous spectra of socioeconomic states ranging from the pure-communism extreme to the absolute-monarchy extreme. This study introduces and explores the Lorenz Flow Structure, analyzes its statistical properties and its inequality properties, unveils the unique role of the lognormal law within this general structure, and presents various examples of this general structure. Beyond the lognormal law, the examples include the inverse-Pareto and Pareto laws–which often govern the tails of composite size distributions.

Suggested Citation

  • Eliazar, Iddo, 2016. "Beyond lognormal inequality: The Lorenz Flow Structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 339-354.
    • Handle: RePEc:eee:phsmap:v:461:y:2016:i:c:p:339-354
    DOI: 10.1016/j.physa.2016.05.061
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116302618
    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.2016.05.061?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. Cowell, Frank, 2011. "Measuring Inequality," OUP Catalogue, Oxford University Press, edition 3, number 9780199594047, Decembrie.
    2. Aoyama,Hideaki & Fujiwara,Yoshi & Ikeda,Yuichi & Iyetomi,Hiroshi & Souma,Wataru Preface by-Name:Yoshikawa,Hiroshi, 2011. "Econophysics and Companies," Cambridge Books, Cambridge University Press, number 9781107403482.
    3. Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook9401.
    4. Chakrabarti,Bikas K. & Chakraborti,Anirban & Chakravarty,Satya R. & Chatterjee,Arnab, 2013. "Econophysics of Income and Wealth Distributions," Cambridge Books, Cambridge University Press, number 9781107013445.
    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. Eliazar, Iddo, 2015. "Growth and inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 457-470.
    2. Eliazar, Iddo, 2017. "Inequality spectra," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 824-847.
    3. Eliazar, Iddo, 2015. "The sociogeometry of inequality: Part II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 116-137.
    4. Ignacio González García & Alfonso Mateos Caballero, 2021. "Models of Wealth and Inequality Using Fiscal Microdata: Distribution in Spain from 2015 to 2020," Mathematics, MDPI, vol. 9(4), pages 1-24, February.
    5. Remuzgo, Lorena & Trueba, Carmen & Sarabia, José María, 2016. "Evolution of the global inequality in greenhouse gases emissions using multidimensional generalized entropy measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 146-157.
    6. Eliazar, Iddo & Cohen, Morrel H., 2015. "A pentatonic classification of extreme events," Chaos, Solitons & Fractals, Elsevier, vol. 74(C), pages 3-14.
    7. Eliazar, Iddo, 2017. "Investigating equality: The Rényi spectrum," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 90-118.
    8. Eliazar, Iddo, 2016. "Visualizing inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 454(C), pages 66-80.
    9. Eliazar, Iddo, 2015. "The sociogeometry of inequality: Part I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 93-115.
    10. Eliazar, Iddo, 2016. "Investigating equality: The poverty and riches indices," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 30-42.
    11. F. Clementi & M. Gallegati & G. Kaniadakis & S. Landini, 2016. "$\kappa$-generalized models of income and wealth distributions: A survey," Papers 1610.08676, arXiv.org.
    12. Kutuk, Yasin, 2022. "Inequality convergence: A world-systems theory approach," Structural Change and Economic Dynamics, Elsevier, vol. 63(C), pages 150-165.
    13. Makoto Maejima & Gennady Samorodnitsky, 1999. "Certain Probabilistic Aspects of Semistable Laws," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(3), pages 449-462, September.
    14. Juan Antonio Duro & Jordi Teixidó-Figueras & Emilio Padilla, 2017. "The Causal Factors of International Inequality in $$\hbox {CO}_{2}$$ CO 2 Emissions Per Capita: A Regression-Based Inequality Decomposition Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(4), pages 683-700, August.
    15. Lombardi, Marco J. & Calzolari, Giorgio, 2009. "Indirect estimation of [alpha]-stable stochastic volatility models," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2298-2308, April.
    16. Kiran Sharma & Subhradeep Das & Anirban Chakraborti, 2017. "Global Income Inequality and Savings: A Data Science Perspective," Papers 1801.00253, arXiv.org, revised Aug 2018.
    17. Foad Shokrollahi & Marcin Marcin Magdziarz, 2020. "Equity warrant pricing under subdiffusive fractional Brownian motion of the short rate," Papers 2007.12228, arXiv.org, revised Nov 2020.
    18. Furrer, Hansjorg & Michna, Zbigniew & Weron, Aleksander, 1997. "Stable Lévy motion approximation in collective risk theory," Insurance: Mathematics and Economics, Elsevier, vol. 20(2), pages 97-114, September.
    19. Hendrik Thiel & Stephan L. Thomsen, 2015. "Individual Poverty Paths and the Stability of Control-Perception," SOEPpapers on Multidisciplinary Panel Data Research 794, DIW Berlin, The German Socio-Economic Panel (SOEP).
    20. Teixidó-Figueras, J. & Duro, J.A., 2014. "Spatial Polarization of the Ecological Footprint Distribution," Ecological Economics, Elsevier, vol. 104(C), pages 93-106.

    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:461:y:2016:i:c:p:339-354. 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.