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On the generalisation of Quatember's bootstrap

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Żądło T.
Statistics in Transition new series
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2021
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vol. 22
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issue 1
163-178
EN
The problem of the estimation of the design-variance and the design-MSE of different estimators and predictors is considered. Bootstrap algorithms applicable to complex sampling designs are used. A generalisation of the bootstrap procedure studied by Quatember (2014) is proposed. In most of the cases considered in our simulation study it leads to more accurate estimates (or to very similar ones in remaining cases) of the designMSE and the design-variance compared with the original algorithm and its other counteparts.
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APPLICATION OF EBLUP ESTIMATION TO THE ANALYSIS OF SMALL AREAS ON THE BASIS OF POLISH HOUSEHOLD BUDGET SURVEY

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Jędrzejczak A., Kubacki J.
Metody Ilościowe w Badaniach Ekonomicznych
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2009
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vol. 10
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issue 1
121-130
EN
In the paper the results of small area estimation using empirical best linear unbiased predictor (EBLUP) for the data coming from Polish Household Budget Survey are presented. The results were obtained using small area models of household expenditures for regions. Estimation of sampling errors was conducted by means of the balanced repeated replication (BRR) technique. The estimation of EBLUPs and their corresponding mean square errors (MSE) was carried out using variance components technique. To calculate MSE of EBLUP the maximum likelihood method (ML) and restricted maximum likelihood method (REML) were used. The computation was made using SAE package designed for R-project.
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Estimation of Income Inequality and the Poverty Rate in Poland, by Region and Family Type

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Jędrzejczak A., Kubacki J.
Statistics in Transition new series
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2014
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vol. 15
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issue 3
359-378
EN
High income inequality can be a source of serious socio-economic problems, such as increasing poverty, social stratification and polarization. Periods of pronounced economic growth or recession may impact different groups of earners differently. Growth may not be shared equally and economic crises may further widen gaps between the wealthiest and poorest sectors. Poverty affects all ages but children are disproportionately affected by it. The reliable inequality and poverty analysis of both total population of households and subpopulations by various family types can be a helpful piece of information for economists and social policy makers. The main objective of the paper was to present some income inequality and poverty estimates with the application to the Polish data coming from the Household Budget Survey. Besides direct estimation methods, the model based approach was taken into regard. Standard errors of estimates were also considered in the paper.
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