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Journal of the Royal Statistical Society Series A (Statistics in Society)
Article . 2021 . Peer-reviewed
License: CC BY NC ND
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zbMATH Open
Article . 2021
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Inequality Measurement with Grouped Data: Parametric and Non-Parametric Methods

Inequality measurement with grouped data: parametric and non-parametric methods
Authors: Jorda, Vanesa; Sarabia, José María; Jäntti, Markus;

Inequality Measurement with Grouped Data: Parametric and Non-Parametric Methods

Abstract

AbstractGrouped data in the form of income shares have conventionally been used to estimate income inequality due to the lack of individual records. We present a systematic evaluation of the performance of parametric distributions and non-parametric techniques to estimate economic inequality using more than 3300 data sets. We also provide guidance on the choice between these two approaches and their estimation, for which we develop the GB2group R package. Our results indicate that even the simplest parametric models provide reliable estimates of inequality measures. The non-parametric approach, however, fails to represent income distributions accurately.

Keywords

minimum distance estimators, Lorenz curve, generalised beta distribution of the second kind, Applications of statistics, kernel density estimator

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Top 10%
Top 10%
Top 10%
hybrid