Alina Jędrzejczak

Income inequality analysis in the period of economic transformation in poland

This paper presents some statistical methods of income inequality analysis based on the theoretical income distribution models that are well-fitted to the empirical models. As theoretical curves, the lognormal, gamma, Burr Type XII, and the Dagum models were used. They were applied to the earnings distributions in Poland in the period of economic transformation from a centrally-planned to a market economy. On the basis of the Dagum model, showing the perfect consistency with the considered earnings distributions, the maximun likelihood estimators of inequality parameters and economic distance ratios between men and women were calculated.

Maximum likelihood estimators of the dagum model parameters

This paper will show the sample size needed to provide good maximum likelihood estimators of the Dagum model parameters. The principal goal of this study is to verify the asymptotic properties of these estimators for finite sample sizes comparable to the ones employed in the real surveys (for example, the Labor Force Survey).

Statistical Computing in Information Society

Abstract In the presence of massive data coming with high heterogeneity we need to change our statistical thinking and statistical education in order to adapt both - classical statistics and software developments that address new challenges. Significant developments include open data, big data, data visualisation, and they are changing the nature of the evidence that is available, the ways in which it is presented and the skills needed for its interpretation. The amount of information is not the most important issue – the real challenge is the combination of the amount and the complexity of data. Moreover, a need arises to know how uncertain situations should be dealt with and what decisions should be taken when information is insufficient (which can also be observed for large datasets). In the paper we discuss the idea of computational statistics as a new approach to statistical teaching and we try to answer a question: how we can best prepare the next generation of statisticians.

Estimation of Mean Income for Small Areas in Poland Using Rao-Yu Model

Modelling and estimating relationships that combine time series and crosssectional data is often discussed in the statistical literature but in these considerations sampling errors are seldom taken into account. In the paper the application of the Rao-Yu model involving both- autocorrelated random effects between areas and sampling errors-has been presented. On the basis of this model the empirical best linear unbiased predictor (EBLUP) with time correlation has been obtained. As an example the application of several income-related variables for the Polish voivodships (regions) and the years 2003–2011 was used on the basis of the Polish Household Budget Survey and selected explanatory variables obtained from Polish Local Data Bank. The computations were performed using sae2 and sae packages for R-project environment and WesVAR software. The precision of the direct estimates was obtained using Balanced Repeated Replication (BRR) technique. For most investigated cases, the proposed methods based on the Rao-Yu model yielded the significant improvement of small area estimates due to substantial reduction of their relative estimation errors as compared to the ordinary EBLUP technique. For some income variables examined within the study very high values of time-related autocorrelation coefficient were observed. These values were in some cases higher than 0.9, what can be – in our opinion – a good illustration of income growth tendency observed in Poland in the period under consideration.

Rozwój statystyki łódzkiej

Oddając te ksiązke do rąk czytelnikow, autorzy mają nadzieje, ze zainteresuje ona środowisko statystykow, a takze ozywi pamiec i pragnienie utrwalania wiedzy o ludziach i instytucjach tworzących lodzką myśl statystyczną. Publikacja jako pierwsza obejmuje charakterystyke dzialalności roznych organizacji i instytucji, a przede wszystkim statystykow, ktorzy dzialali w Łodzi na przestrzeni blisko 200 lat. Jest wydana w serii „Ekonomia”.