An Econophysical Approach of Polynomial Distribution Applied to Income and Expenditure
American Journal of Modern Physics
Volume 3, Issue 2, March 2014, Pages: 88-92
Received: Mar. 16, 2014;
Accepted: Apr. 8, 2014;
Published: Apr. 10, 2014
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Elvis Oltean, Department of Physics, Loughborough University, Loughborough, the UK
Polynomial distribution can be applied to dynamic systems in certain situations. Macroeconomic systems characterized by economic variables such as income and wealth can be modelled similarly using polynomials. We extend our previous work to data regarding income from a more diversified pool of countries, which contains developed countries with high income, developed countries with middle income, developing and underdeveloped countries. Also, for the first time we look at the applicability of polynomial distribution to expenditure (consumption). Using cumulative distribution function, we found that polynomials are applicable with a high degree of success to the distribution of income to all countries considered without significant differences. Moreover, expenditure data can be fitted very well by this polynomial distribution. We considered a distribution to be robust if the values for coefficient of determination are higher than 90%. Using this criterion, we decided the degree for the polynomials used in our analysis by trying to minimize the number of coefficients, respectively first or second degree. Lastly, we look at possible correlation between the values from coefficient of determination and Gini coefficient for disposable income.
An Econophysical Approach of Polynomial Distribution Applied to Income and Expenditure, American Journal of Modern Physics.
Vol. 3, No. 2,
2014, pp. 88-92.
E. Oltean, F.V. Kusmartsev, “A polynomial distribution applied to income and wealth distribution”, Journal of Knowledge Management, Economics, and Information Technology, 2013, Bucharest, Romania
A. Dragulescu, V. M. Yakovenko, “Statistical mechanics of money, income, and wealth: A short survey”, URL: http://www2.physics.umd.edu/~yakovenk/econophysics.html
A. Dragulescu, V.M. Yakovenko, “Statistical mechanics of money”, Eur. Phys. J. B 17, 2000, pp.723-729.
A. Dragulescu, V.M. Yakovenko, “Evidence for the exponential distribution of income in the USA”, Eur. Phys. J. B 20, 2001, pp. 585-589.
A. C. Silva, V. M. Yakovenko, “Temporal evolution of the “thermal” and “superthermal” income classes in the USA during 1983–2001”, Europhys. Lett., 69 (2), 2005, pp. 304–310.
K. E. Kurten and F. V. Kusmartsev, “Bose-Einstein distribution of money in a free-market economy”, Physics Letter A Journal, EPL, 93, 28003, 2011
F. V. Kusmartsev, “Statistical mechanics of economics”, Physics Letters A 375, 2011, pp. 966–973
E. Oltean, F. V. Kusmartsev, “A study of methods from statistical mechanics to income distribution”, ENEC, Bucharest, 2012
D. Coes, “Interpreting Brazilian Income Distribution Trends”, University of New Mexico, 2006, URL: http://www.economics.illinois.edu/seminars/conferences/baer/program
I. Dhamani, “Income Inequality in Singapore: Causes,Consequences and Policy Options”, National University of Singapore, 2008. URL: http://www.scb.se/Pages/TableAndChart____226030.aspx
http://www.scb.se/Pages/TableAndChart____226030.aspx (accessed December 2013)