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Russian Physics Journal
Article . 2021 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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Robust Properties of the Median of Absolute Differences and Family of Inter-α-Quantile Ranges

Authors: Shulenin, V. P.;

Robust Properties of the Median of Absolute Differences and Family of Inter-α-Quantile Ranges

Abstract

When studying the properties of various physical objects, experimental data often contain gross errors (outliers) which can lead to significant distortions of the results of statistical processing of such data. For this reason, statistical procedures are being developed that are protected from the presence of outliers in observations. In this paper, two types of robust estimates of the scale parameter, which characterizes the spread (variability) of the random variable under study, are considered. The proposed estimates are asymptotically normally distributed, have bounded influence functions, and therefore, unlike the standard deviation estimates, are protected from the presence of outliers in the sample. The results of comparing the estimates of the scale parameter by the efficiency for different observation models, in particular, for the Gauss model with large-scale contamination, are presented.

Keywords

адаптивные оценки, масштабный параметр, робастные оценки, функция влияния

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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!
1
Average
Average
Average
Green