In the paper, the properties of the stochastic equivalence scales (SES) are analysed when expenditure distributions are log-normal. The SES provides the equivalent distribution of expenditures when the population of households is heterogeneous with respect to such attributes as household size, demographic composition, etc. For log-normal expenditure distributions, the non-parametric SES deflators are proportional to the ration of geometric means in compared distributions. The statistical analysis of expenditure distributions for Poland in the years 2005-2010 shows that these deflators perform quite well.
The aim of this paper is to obtain a sample from the world income distribution (WID). We assumed log-logistic form of countries’ income distributions with unit means. This implies that such distributions are fully described by their corresponding Gini indices. Gini estimates came from Deninger-Squire, WID2, and other databases for 119 countries in the years 1990-2005. We generated random sample for every distribution and multiplied its values by GDP/capita. Sample size was controlled by sequential ratio test. The world sample consisted of country samples weighted by population shares. We have found that WID is bimodal with diminishing inequality and poverty during analyzed period.
In the paper, two theoretical models are applied for the assessment of quality of life of emerging higher class in Poland. Life satisfaction, measured on the 5-point Likert scale, is applied as the proxy for quality of life. The first model assumes continuous measurement of Liker scale outcomes and makes use of the epsilon orthogonal regression. The second model respects ordinal measurements of Liker scale outcomes and exploits the ordinal logistic regression. The statistical data come from 2011-2012 survey conducted among 90 higher class respondents from Warsaw. Both models identify the following predictors of life satisfaction: marriage satisfaction, job satisfaction and respondents gender. This means that the type of measurement scale does not matter when assessing the life satisfaction of emerging higher class in Poland.
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