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Austrian Journal of Statistics
Article . 2016
Data sources: DOAJ
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Central regions for bivariate distributions

Authors: Fernández Ponce, José María; Suárez Llorens, Alfonso;

Central regions for bivariate distributions

Abstract

For a one-dimensional probability distribution, the classical concept of central region as a real interquantile interval arises in all applied sciences. We can find applications, for instance, with dispersion, skewness and detection of outliers. All authors agree with the main problem in a multivariate generalization: there does not exist a natural ordering in n-dimensions, n > 1. Because of this reason, the great majority of these generalizations depend on their use. We can say that is common to generalize the concept of central region under the definition of the well known concept of spatial median. In our work, we develop an intuitive concept which can be interpreted as level curves for distribution functions and this one provides a trimmed region. Properties referred to dispersion and probability are also studied and some considerations on more than two dimensions are also considered. Furthermore, several estimations for bivariate data based on conditional quantiles are discussed.

Country
Spain
Related Organizations
Keywords

Conditional Quantile, Central Region, Statistics, Spatial Quantile, Probabilities. Mathematical statistics, QA273-280, HA1-4737

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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!
0
Average
Average
Average
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Published in a Diamond OA journal
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