Robust scale estimators for fuzzy data

DOI10.1007/S11634-015-0210-1zbMath1414.62104OpenAlexW576410320MaRDI QIDQ2418340

Beatriz Sinova, Peter Filzmoser, Sara de la Rosa de Sáa, María Asunción Lubiano

Publication date: 3 June 2019

Published in: Advances in Data Analysis and Classification. ADAC (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10651/33460

zbMATH Keywords

robustnessfuzzy numbersscale estimationrandom fuzzy numbersfinite sample breakdown pointempirical bias curvessensitivity curves

Mathematics Subject Classification ID

Robustness and adaptive procedures (parametric inference) (62F35) Fuzzy analysis in statistics (62A86)

Related Items (3)

Means of fuzzy numbers in the fuzzy information evaluation problem ⋮ Unnamed Item ⋮ M-estimators and trimmed means: from Hilbert-valued to fuzzy set-valued data

Uses Software

• robustbase

Cites Work

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• Fuzzy data treated as functional data: a one-way ANOVA test approach
• \(K\)-sample tests for equality of variances of random fuzzy sets
• A generalized \(L^1\)-type metric between fuzzy numbers for an approach to central tendency of fuzzy data
• Elementary fuzzy calculus
• Metric spaces of fuzzy sets
• The concept of normality for fuzzy random variables
• The concept of a linguistic variable and its application to approximate reasoning. I
• The concept of a linguistic variable and its application to approximate reasoning. II
• The concept of a linguistic variable and its application to approximate reasoning. III
• On the variance of fuzzy random variables
• A generalized strong law of large numbers
• Reversing the order of integration in iterated expectations of fuzzy random variables, and statistical applications
• The median of a random fuzzy number. The 1-norm distance approach
• The \(\vec \lambda\)-mean squared dispersion associated with fuzzy random variable
• A distance-based statistical analysis of fuzzy number-valued data
• Rejoinder on ``A distance-based statistical analysis of fuzzy number-valued data
• Alternatives to the Median Absolute Deviation
• Robust Statistics
• Fuzzy random variables
• On the formalization of fuzzy random variables

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