IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v43y2021ics1544612321001045.html
   My bibliography  Save this article

Wealth Distribution across Countries: Quality of Weibull, Dagum and Burr XII in Estimating Wealth over Time

Author

Listed:
  • Jacobi, Arie
  • Tzur, Joseph

Abstract

This study aims to determine which distribution provides a better goodness-of-fit for the distribution of wealth across countries over time. Using eight goodness-of-fit measures, we compared the Burr XII, the Weibull, and the Dagum distributions. We obtained that the Burr XII distribution outperforms the Weibull or Dagum distributions in capturing the wealth distribution across countries over the years 2012-2018. Our study implies that researchers or policymakers who wish to examine the relationship between wealth distribution and other financial variables, or actions by policymakers, should use the Burr XII distribution to estimate the wealth distribution parameters.

Suggested Citation

  • Jacobi, Arie & Tzur, Joseph, 2021. "Wealth Distribution across Countries: Quality of Weibull, Dagum and Burr XII in Estimating Wealth over Time," Finance Research Letters, Elsevier, vol. 43(C).
  • Handle: RePEc:eee:finlet:v:43:y:2021:i:c:s1544612321001045
    DOI: 10.1016/j.frl.2021.102023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544612321001045
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.frl.2021.102023?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. Georgios Bampinas & Panagiotis Konstantinou & Theodore Panagiotidis, 2017. "Inequality, Demographics and the Housing Wealth Effect: Panel Quantile Regression Evidence for the US States," Working Paper series 17-01, Rimini Centre for Economic Analysis.
    2. Camillo Dagum, 2006. "Wealth distribution models: analisys and applications," Statistica, Department of Statistics, University of Bologna, vol. 66(3), pages 235-268.
    3. Bampinas, Georgios & Konstantinou, Panagiotis & Panagiotidis, Theodore, 2017. "Inequality, demographics and the housing wealth effect: Panel quantile regression evidence for the US," Finance Research Letters, Elsevier, vol. 23(C), pages 19-22.
    4. Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-970, September.
    5. Kamali, Rezvan & Mahmoodi, Safieh & Jahandideh, Mohammad-Taghi, 2019. "Optimization of multi-period portfolio model after fitting best distribution," Finance Research Letters, Elsevier, vol. 30(C), pages 44-50.
    6. Evrensel, Ayse Y., 2008. "Banking crisis and financial structure: A survival-time analysis," International Review of Economics & Finance, Elsevier, vol. 17(4), pages 589-602, October.
    7. Allen, David & Ng, K.H. & Peiris, Shelton, 2013. "Estimating and simulating Weibull models of risk or price durations: An application to ACD models," The North American Journal of Economics and Finance, Elsevier, vol. 25(C), pages 214-225.
    8. Sgouropoulos, Nikolaos & Yao, Qiwei & Yastremiz, Claudia, 2015. "Matching a distribution by matching quantiles estimation," LSE Research Online Documents on Economics 57221, London School of Economics and Political Science, LSE Library.
    9. Jacobi, Arie & Tzur, Joseph, 2021. "Wealth distribution and probability of bank failure across countries," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 71(C).
    10. Christodoulakis, George & Peel, David, 2006. "The relationship between expected utility and higher moments for distributions captured by the Gram-Charlier class," Finance Research Letters, Elsevier, vol. 3(4), pages 273-276, December.
    11. Qi-Man Shao & Hao Yu & Jun Yu, 2001. "Do Stock Returns Follow a Finite Variance Distribution?," Annals of Economics and Finance, Society for AEF, vol. 2(2), pages 467-486, November.
    12. Joakim Munkhammar & Lars Mattsson & Jesper Rydén, 2017. "Polynomial probability distribution estimation using the method of moments," PLOS ONE, Public Library of Science, vol. 12(4), pages 1-14, April.
    13. Schmittlein, David C, 1983. "Some Sampling Properties of a Model for Income Distribution," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(2), pages 147-153, April.
    14. Kleiber, Christian, 1996. "Dagum vs. Singh-Maddala income distributions," Economics Letters, Elsevier, vol. 53(3), pages 265-268, December.
    15. Ripsy Bandourian & Robert Turley & James McDonald, 2002. "A Comparison of Parametric Models of Income Distribution across Countries and over Time," LIS Working papers 305, LIS Cross-National Data Center in Luxembourg.
    16. Nikolaos Sgouropoulos & Qiwei Yao & Claudia Yastremiz, 2015. "Matching a Distribution by Matching Quantiles Estimation," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(510), pages 742-759, June.
    17. Singh, S K & Maddala, G S, 1978. "A Function for Size Distribution of Incomes: Reply," Econometrica, Econometric Society, vol. 46(2), pages 461-461, March.
    18. Tzur, Joseph & Jacobi, Arie, 2019. "Wealth inequality and bank failure: A cross-country simulation analysis," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 60(C), pages 193-210.
    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. Jacobi, Arie & Tzur, Joseph, 2021. "Wealth distribution and probability of bank failure across countries," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 71(C).
    2. Dorothée Boccanfuso & Bernard Decaluwé & Luc Savard, 2008. "Poverty, income distribution and CGE micro-simulation modeling: Does the functional form of distribution matter?," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(2), pages 149-184, June.
    3. Fabio Clementi & Mauro Gallegati & Giorgio Kaniadakis, 2010. "A model of personal income distribution with application to Italian data," Empirical Economics, Springer, vol. 39(2), pages 559-591, October.
    4. Galina Besstremyannaya & Sergei Golovan, 2019. "Reconsideration of a simple approach to quantile regression for panel data: a comment on the Canay (2011) fixed effects estimator," Working Papers w0249, Center for Economic and Financial Research (CEFIR).
    5. Abebe Hailemariam & Tutsirai Sakutukwa & Ratbek Dzhumashev, 2021. "Long-term determinants of income inequality: evidence from panel data over 1870–2016," Empirical Economics, Springer, vol. 61(4), pages 1935-1958, October.
    6. Kazuhiko Kakamu, 2016. "Simulation Studies Comparing Dagum and Singh–Maddala Income Distributions," Computational Economics, Springer;Society for Computational Economics, vol. 48(4), pages 593-605, December.
    7. Masato Okamoto, 2022. "Lorenz and Polarization Orderings of the Double-Pareto Lognormal Distribution and Other Size Distributions," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 548-574, November.
    8. Ersi Athanassiou & Ekaterini Tsouma, 2017. "Financial and Housing Wealth Effects on Private Consumption: The Case of Greece," South-Eastern Europe Journal of Economics, Association of Economic Universities of South and Eastern Europe and the Black Sea Region, vol. 15(1), pages 63-86.
    9. Vinh, Andrea & Griffiths, William E. & Chotikapanich, Duangkamon, 2010. "Bivariate income distributions for assessing inequality and poverty under dependent samples," Economic Modelling, Elsevier, vol. 27(6), pages 1473-1483, November.
    10. Brzezinski, Michal, 2014. "Empirical modeling of the impact factor distribution," Journal of Informetrics, Elsevier, vol. 8(2), pages 362-368.
    11. Vladimir Hlasny, 2021. "Parametric representation of the top of income distributions: Options, historical evidence, and model selection," Journal of Economic Surveys, Wiley Blackwell, vol. 35(4), pages 1217-1256, September.
    12. Christian Kleiber, 2008. "A Guide to the Dagum Distributions," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 6, pages 97-117, Springer.
    13. Stéphane Guerrier & Samuel Orso & Maria-Pia Victoria-Feser, 2018. "Parametric Inference for Index Functionals," Econometrics, MDPI, vol. 6(2), pages 1-11, April.
    14. Walter, Paul & Weimer, Katja, 2018. "Estimating poverty and inequality indicators using interval censored income data from the German microcensus," Discussion Papers 2018/10, Free University Berlin, School of Business & Economics.
    15. Kleiber, Christian, 2005. "The Lorenz curve in economics and econometrics," Technical Reports 2005,30, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    16. Paul Eckerstorfer & Johannes Halak & Jakob Kapeller & Bernhard Schütz & Florian Springholz & Rafael Wildauer, 2014. "Vermögen in Österreich," Working Paper Reihe der AK Wien - Materialien zu Wirtschaft und Gesellschaft 126, Kammer für Arbeiter und Angestellte für Wien, Abteilung Wirtschaftswissenschaft und Statistik.
    17. F. Clementi & A. L. Dabalen & V. Molini & F. Schettino, 2020. "We forgot the middle class! Inequality underestimation in a changing Sub-Saharan Africa," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(1), pages 45-70, March.
    18. John Dagsvik & Zhiyang Jia & Bjørn Vatne & Weizhen Zhu, 2013. "Is the Pareto–Lévy law a good representation of income distributions?," Empirical Economics, Springer, vol. 44(2), pages 719-737, April.
    19. Bittencourt, Manoel & Chang, Shinhye & Gupta, Rangan & Miller, Stephen M., 2019. "Does financial development affect income inequality in the U.S. States?," Journal of Policy Modeling, Elsevier, vol. 41(6), pages 1043-1056.
    20. Manoel Bittencourt & Shinhye Chang & Rangan Gupta & Stephen M. Miller, 2018. "Does Financial Development Affect Income Inequality in the U.S. States? A Panel Data Analysis," Working Papers 201803, University of Pretoria, Department of Economics.

    More about this item

    Keywords

    Wealth per adult distribution; Burr distribution XII; Weibull distribution; Dagum distribution; Estimation methods; Goodness-of-fit;
    All these keywords.

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

    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:eee:finlet:v:43:y:2021:i:c:s1544612321001045. 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/frl .

    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.