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Iterative Kernel Density Estimation Applied to Grouped Data : Estimating Poverty and Inequality Indicators from the German Microcensus
Walter, Paul; Groß, Marcus; Schmid, Timo; u. a. (2022): Iterative Kernel Density Estimation Applied to Grouped Data : Estimating Poverty and Inequality Indicators from the German Microcensus, in: Journal of Official Statistics : JOS, Berlin: de Gruyter, Jg. 38, Nr. 2, S. 599–635, doi: 10.2478/jos-2022-0027.
Faculty/Chair:
Author:
Title of the Journal:
Journal of Official Statistics : JOS
ISSN:
2001-7367
0282-423X
Publisher Information:
Year of publication:
2022
Volume:
38
Issue:
2
Pages:
Language:
English
Abstract:
The estimation of poverty and inequality indicators based on survey data is trivial as long as the variable of interest (e.g., income or consumption) is measured on a metric scale. However, estimation is not directly possible, using standard formulas, when the income variable is grouped due to confidentiality constraints or in order to decrease item nonresponse. We propose an iterative kernel density algorithm that generates metric pseudo samples from the grouped variable for the estimation of indicators. The corresponding standard errors are estimated by a non-parametric bootstrap that accounts for the additional uncertainty due to the grouping. The algorithm enables the use of survey weights and household equivalence scales. The proposed method is applied to the German Microcensus for estimating the regional distribution of poverty and inequality in Germany.
GND Keywords: ; ; ;
Mikrozensus
Armut
Ungleichheit
Schätzung
Keywords: ; ; ; ;
Direct estimation
Interval-censored data
non-parametric estimation
OECD scale
prediction
DDC Classification:
RVK Classification:
International Distribution:
Yes:
Type:
Article
Activation date:
September 21, 2022
Versioning
Question on publication
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https://fis.uni-bamberg.de/handle/uniba/55652