The Use of Finite Mixtures of Lognormal Distribution for the Modelling of Income Distributions
AbstractIn the text finite mixtures of lognormal distributions are used for the modelling of net annual per capita income of the Czech households in Czech crowns in 2004?2008. All the households are divided into subgroups with observed group membership according to the attained education of the head of a household (a factor with five levels: basic, secondary, complete secondary, bachelor, magister education), the existence of children in the household (a factor with two levels: children yes or no) and the number of children (a factor with five levels: 0?3, more than 3 children). Then, models with incomplete data (unobserved component membership) were used for 2?5 components. All the estimates in the text are maximum likelihood estimates; explicit formulas exist for the complete data models; an EM algorithm for normal mixtures incorporated in the flexmix package in R was used for the incomplete data models. The models are compared with the use of the Akaike criterion. Maximum likelihood estimates of mixing proportions, expected values and standard deviations of the components are given and their development in the five-year period analysed is discussed. The program R was used for all the computations.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by University of Economics, Prague in its journal Acta Oeconomica Pragensia.
Volume (Year): 2012 (2012)
Issue (Month): 4 ()
Postal: Redakce Acta Oeconomica Pragensia, Vysoká škola ekonomická v Praze, nám. W. Churchilla 4, 130 67 Praha 3
Find related papers by JEL classification:
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Emmanuel Flachaire & Olivier G. Núñez, 2003.
"Estimation Of Income Distribution And Detection Of Subpopulations: An Explanatory Model,"
Statistics and Econometrics Working Papers, Universidad Carlos III, Departamento de EstadÃstica y EconometrÃa
ws030201, Universidad Carlos III, Departamento de Estadística y Econometría.
- Emmanuel Flachaire & Olivier Nunez, 2007. "Estimation of income distribution and detection of subpopulations: an explanatory model," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers), HAL halshs-00175923, HAL.
- Bettina Grün & Friedrich Leisch, . "FlexMix Version 2: Finite Mixtures with Concomitant Variables and Varying and Constant Parameters," Journal of Statistical Software, American Statistical Association, American Statistical Association, vol. 28(i04).
- McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, Econometric Society, vol. 52(3), pages 647-63, May.
- Flachaire, Emmanuel & Nunez, Olivier, 2007. "Estimation of the income distribution and detection of subpopulations: An explanatory model," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 51(7), pages 3368-3380, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Vaclav Subrta).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.