Acta Oeconomica Pragensia 2009, 17(4):3-18 | DOI: 10.18267/j.aop.275
Modelling of Income Distribution of Czech Households in The Years 1996-2005
- University od Economics, Prague, Faculty of Management (bartosov@vse.cz, bina@vse.cz). The work was supported by Czech Science Foundation under grant no. 402/09/0515 "Analýza a modelování finančního potenciálu českých (slovenských) domácností".
After the 1989 Velvet Revolution, the transformation to a market economic system, and mainly the formation of new income sources and the process of a significant differentiation in wages, has caused crucial changes to the income distribution. There have been systematic changes in the model parameters as well as changes manifesting the increasing numbers of discrepancies between empirical and theoretical income distributions: these have caused a contamination of the model. This paper concentrates on the verification of the validity of the statistical model of income distribution used in the Czech Republic at present. In order to consider as precisely as possible the suitability of log-normal distribution as the proper model for income distribution used in the Czech Republic, the optimisation of parameters is necessary. The accuracy of the model construction is crucial and is given, to some extent, by the sensitivity and adaptability of procedures used for estimation of the model parameters. The paper shows methods usable for the achievement of this goal and presents results obtained by their application on data files from the years 1996-2005.
Keywords: Income distribution, Iterative procedure, Probability model
JEL classification: G30
Published: August 1, 2009 Show citation
References
- ANDĚL, J. 1985. Statistické metody. Praha : Matfyzpres, 1985.
- BARTO©OVÁ, J. 2006a. Volba a aplikace metod analýzy stavu rozdělení příjmů domácností v České republice po roce 1990. [Doktorská disertační práce]. Praha : V©E, 2006.
- BARTO©OVÁ, J. 2006b. Logarithmic-normal model of household income distribution in the Czech Republic after 1990. Forum Statisticum Slovacum. 2006, no. 3. Slovak Statistical and Demographic Society, s. 3-10.
- BARTO©OVÁ, J. 2006c. Logarithmic-Normal Model of Income Distribution in the Czech Republic. Austrian Journal of Statistics. 2006, vol. 35, no. 2&3, s. 215-222.
- BARTO©OVÁ, J.; BINA, V. 2007. Mixture models of household income distribution in the Czech Republic. In KOVÁČOVÁ, M. (ed.). 6th International Conference APLIMAT2007, Part I. Slovak University of Technology, Bratislava, s. 307-316.
- BARTO©OVÁ, J.; BINA, V. 2008. Iterative Procedure for the Construction of Three parametrical Lognormal Income Distribution Model. In 7th International Conference APLIMAT 2008 [CD-ROM]. Slovak University of Technology, Bratislava, s. 1037-1042.
- BILKOVÁ, D. 1996. Příjmová rozdělení: modelování v letech 1956 a 1992 a předpovědi pro roky 1995 a 1997. [Doktorská disertační práce]. Praha : V©E, 1996.
- BILKOVÁ, D. 2008. Application of Lognormal Curves in Modeling of Wage Distributions. In 7th International Conference APLIMAT 2008 [CD-ROM]. Slovak University of Technology, Bratislava, s. 341-352.
- DI PRETE, T. A.; MCMANUS, A. 2000. Family change, employment transition, and welfare state: household income dynamics in the United States and Germany. American Sociological Revue. 2000, vol. 65, s. 343-370.
Go to original source...
- CHAUDHURI, S.; RAVALLION, M. 1994. How well do static indicators identify the chronically poor. Journal of Public Economic. 1994, vol. 53, s. 367-394.
Go to original source...
- KNEIP, A.; UTIKAL, K. J. 2001. Inference for density families using functional principal component analysis. Journal of the American Statistical Association. 2001, vol. 96, no. 454, Theory and Methods, s. 519-533.
Go to original source...
- LONGFORD, N. T.; PITTAU, M. G. 2006. Stability of household income in European countries in the 1990s. Computational Statistics & Data Analysis. 2006, vol. 51, s. 1364-1383.
Go to original source...
- LUCENO, A. 2006. Fitting the generalized Pareto distribution to data using maximum goodness-of-fit estimators. Computational Statistics & Data Analysis. 2006, vol. 51, s. 904-917.
Go to original source...
- MACULLAGH, P.; NELDER, J.A. 1994. Generalized Linear Models. London : Chapman and Hall, 1994.
- MCLACHLAN, G.; PEEL, D. 2000. Finite mixture models. New York : John Wiley & Sons, 2000.
Go to original source...
- PAAP, R.; VAN DIJK, H. K. 1998. Distribution and mobility of wealth of nation. European Economic Revue. 1998, vol. 42, s. 1269-1293.
Go to original source...
- PACÁKOVÁ, V.; SODOMOVÁ, E. 2003. Modelling with quantile distribution functions. Ekonomika a informatika. 2003, č. 1, s. 30-44.
- PITTAU, M. G. 2004. Regional income distributions in the European Union. Oxford Bulletin Economic Statistics. 2004, vol. 67, s. 135-161.
Go to original source...
- RAMBERG, J.; SCHMEISER, B. 1974. An approximate method for generating asymmetric random variables. Communications of the ACM. 1974, vol. 17, no. 2, pp. 78-82.
Go to original source...
- WILLIAMS, D. 2001. Weighing the Odds, A Course in Probability and Statistics. Cambridge : Cambridge University Press, 2001.
Go to original source...
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