IDEAS home Printed from https://ideas.repec.org/a/eko/ekoeko/25_154.html
   My bibliography  Save this article

Wealth Modeling of Polish Households Using Statistical Methods

Author

Listed:
  • Maciej Jagielski
  • Ryszard Kutner

Abstract

The aim of this work is to analyze the empirical cumulative layouts of annual household income in Poland between 2000 and 2006. Data were collected from the Central Statistical Office. The layouts were compared with predictions of Pareto rights, Law of Proportionate Effect, generalized Lotka-Volterra model and models of collisions. It turned out that middle class and wealthy Polish households are described very well by the cumulative distributions of Pareto, which differ by the value of the Pareto exponent. On the other hand the income of poor households is described by a cumulative log-normal distribution. To describe the poor andmiddle class households the generalized Lotka-Volterra model can be used, which provides the theoretical interpretation of the level of individual households.

Suggested Citation

  • Maciej Jagielski & Ryszard Kutner, 2011. "Wealth Modeling of Polish Households Using Statistical Methods," Ekonomia journal, Faculty of Economic Sciences, University of Warsaw, vol. 25.
    • Handle: RePEc:eko:ekoeko:25_154
    as

    Download full text from publisher

    File URL: http://ekonomia.wne.uw.edu.pl/ekonomia/getFile/716
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Keizo Yamamoto & Sasuke Miyazima & Hiroshi Yamamoto & Toshiya Ohtsuki & Akihiro Fujihara, 2006. "The power-law exponent and the competition rule of the high income model," Springer Books, in: Hideki Takayasu (ed.), Practical Fruits of Econophysics, pages 349-353, Springer.
    2. Arnab Chatterjee & Bikas K. Chakrabarti, 2007. "Kinetic Exchange Models for Income and Wealth Distributions," Papers 0709.1543, arXiv.org, revised Nov 2007.
    3. Okuyama, K & Takayasu, M & Takayasu, H, 1999. "Zipf's law in income distribution of companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 125-131.
    4. Peter Richmond & Sorin Solomon, 2001. "Power Laws Are Disguised Boltzmann Laws," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 333-343.
    5. A. Chatterjee & B. K. Chakrabarti, 2007. "Kinetic exchange models for income and wealth distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(2), pages 135-149, November.
    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. Sokolov, Andrey & Melatos, Andrew & Kieu, Tien, 2010. "Laplace transform analysis of a multiplicative asset transfer model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2782-2792.
    2. Costas Efthimiou & Adam Wearne, 2016. "Household Income Distribution in the USA," Papers 1602.06234, arXiv.org.
    3. Thitithep Sitthiyot & Kanyarat Holasut, 2024. "Income distribution in Thailand is scale-invariant," Papers 2402.01141, arXiv.org.
    4. Maria Letizia Bertotti & Amit K Chattopadhyay & Giovanni Modanese, 2017. "Economic inequality and mobility for stochastic models with multiplicative noise," Papers 1702.08391, arXiv.org.
    5. Fix, Blair, 2017. "Evidence for a Power Theory of Personal Income Distribution," Working Papers on Capital as Power 2017/03, Capital As Power - Toward a New Cosmology of Capitalism.
    6. Cui, Jian & Pan, Qiuhui & Qian, Qian & He, Mingfeng & Sun, Qilin, 2013. "A multi-agent dynamic model based on different kinds of bequests," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1393-1397.
    7. Takeshi Kato, 2022. "Wealth Redistribution and Mutual Aid: Comparison using Equivalent/Nonequivalent Exchange Models of Econophysics," Papers 2301.00091, arXiv.org.
    8. Chatterjee, Arnab & Chakrabarti, Anindya S. & Ghosh, Asim & Chakraborti, Anirban & Nandi, Tushar K., 2016. "Invariant features of spatial inequality in consumption: The case of India," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 169-181.
    9. Blair Fix, 2018. "Hierarchy and the power-law income distribution tail," Journal of Computational Social Science, Springer, vol. 1(2), pages 471-491, September.
    10. Chakrabarti, Anindya S., 2011. "An almost linear stochastic map related to the particle system models of social sciences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4370-4378.
    11. Max Greenberg & H. Oliver Gao, 2024. "Twenty-five years of random asset exchange modeling," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(6), pages 1-27, June.
    12. Takeshi Kato & Yasuyuki Kudo & Hiroyuki Mizuno & Yoshinori Hiroi, 2020. "Regional Inequality Simulations Based on Asset Exchange Models with Exchange Range and Local Support Bias," Papers 2002.09272, arXiv.org, revised Jul 2020.
    13. Kausik Gangopadhyay, 2017. "A Survey into Evidence of Zipf’s Law among Indian Socio-Economic Variables," Working papers 223, Indian Institute of Management Kozhikode.
    14. Ghosh, Asim & Chatterjee, Arnab & Inoue, Jun-ichi & Chakrabarti, Bikas K., 2016. "Inequality measures in kinetic exchange models of wealth distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 465-474.
    15. Pavel Exner & Petr v{S}eba, 2007. "A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties," Papers 0711.1836, arXiv.org, revised Dec 2007.
    16. Willis, Geoff, 2011. "Why money trickles up – wealth & income distributions," MPRA Paper 30851, University Library of Munich, Germany.
    17. Mukherjee, Sudip & Biswas, Soumyajyoti & Chatterjee, Arnab & Chakrabarti, Bikas K., 2021. "The Ising universality class of kinetic exchange models of opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    18. Düring, Bertram & Matthes, Daniel & Toscani, Giuseppe, 2008. "A Boltzmann-type approach to the formation of wealth distribution curves," CoFE Discussion Papers 08/05, University of Konstanz, Center of Finance and Econometrics (CoFE).
    19. Yonatan Berman & Yoash Shapira & Eshel Ben-Jacob, 2015. "Modeling the Origin and Possible Control of the Wealth Inequality Surge," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-21, June.
    20. Dashti Moghaddam, M. & Mills, Jeffrey & Serota, R.A., 2020. "From a stochastic model of economic exchange to measures of inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).

    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:eko:ekoeko:25_154. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/fesuwpl.html .

    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.