On the Robustness of Absolute Deviations with Fuzzy Data

DOI10.1007/978-3-319-10765-3_16zbMath1337.62027OpenAlexW7108679MaRDI QIDQ2808109

Peter Filzmoser, María Ángeles Gil Álvarez, Sara de la Rosa de Sáa, María Asunción Lubiano

Publication date: 26 May 2016

Published in: Strengthening Links Between Data Analysis and Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-10765-3_16

zbMATH Keywords

robustnessfuzzy datamedian absolute deviationaverage absolute deviation

Mathematics Subject Classification ID

Nonparametric robustness (62G35) Sampling theory, sample surveys (62D05)

Uses Software

• robustbase

Cites Work

• Unnamed Item
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• The median of a random fuzzy number. The 1-norm distance approach
• Asymptotic and bootstrap techniques for testing the expected value of a fuzzy random variable
• An asymptotic \(\alpha\)-test for the expectation of random fuzzy variables
• The \(\vec \lambda\)-mean squared dispersion associated with fuzzy random variable
• Alternatives to the Median Absolute Deviation
• Robust Statistics
• A General Qualitative Definition of Robustness
• Fuzzy random variables

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