The Use of Finite Mixtures of Lognormal Distribution for the Modelling of Household Income Distributions in the Czech Republic

In the text finite mixtures of lognormal distributions are used for the modelling of net annual income per capita and equivalized income of the Czech households (in CZK) in 2004-2010. The development of distribution of number of members of households is analysed and the characteristics of standardized units according to EU and OECD methodologies are given. Data from the survey EU-SILC organized by the Czech Statistical Office from 2005-2011 (dealing with incomes from 2004-2010) are used for the analysis. Models (with incomplete data) with two to four artificial components are used in order to fit the distribution of incomes; the development of their characteristics is shown. All estimates in the text are maximum likelihood estimates, EM algorithm in the program R is used for the optimalization. Models are compared with the use of Akaike criterion.