Advantages of M-estimators of location for fuzzy numbers based on Tukey's biweight loss function

DOI10.1016/j.ijar.2017.10.032zbMath1458.62083OpenAlexW2769222161MaRDI QIDQ1726389

Stefan Van Aelst, Beatriz Sinova

Publication date: 20 February 2019

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10651/46101

zbMATH Keywords

random fuzzy numberHampel loss functionM-estimator of locationTukey biweight loss function

Mathematics Subject Classification ID

Point estimation (62F10) Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45) Parametric inference and fuzziness (62F86)

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Uses Software

• R

Cites Work

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• A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread
• Metric spaces of fuzzy sets
• The concept of normality for fuzzy random variables
• A generalized strong law of large numbers
• The median of a random fuzzy number. The 1-norm distance approach
• A distance-based statistical analysis of fuzzy number-valued data
• Rejoinder on ``A distance-based statistical analysis of fuzzy number-valued data
• The Wabl/Ldev/Rdev Median of a Random Fuzzy Number and Statistical Properties
• An application of a computerized fuzzy graphic rating scale to the psychological measurement of individual differences
• The Influence Curve and Its Role in Robust Estimation
• The Fitting of Power Series, Meaning Polynomials, Illustrated on Band-Spectroscopic Data
• Robust Estimation of a Location Parameter
• A General Qualitative Definition of Robustness
• Robust Statistics
• Fuzzy random variables
• Two-sample hypothesis tests of means of a fuzzy random variable