Fuzzy data treated as functional data: a one-way ANOVA test approach
DOI10.1016/j.csda.2010.06.013zbMath1243.62104OpenAlexW1972773455MaRDI QIDQ433258
Gil González-Rodríguez, Ana Colubi, María Ángeles Gil Álvarez
Publication date: 13 July 2012
Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.csda.2010.06.013
bootstrapHilbert spaceconvex conefuzzy datalocal alternativesfunctional data\(k\)-samples testANOVA statistic
Nonparametric hypothesis testing (62G10) Applications of functional analysis in probability theory and statistics (46N30) Analysis of variance and covariance (ANOVA) (62J10) Fuzziness, and linear inference and regression (62J86) Nonparametric inference and fuzziness (62G86)
Related Items (53)
Uses Software
Cites Work
- Unnamed Item
- Functional linear regression analysis for longitudinal data
- Dynamic relations for sparsely sampled Gaussian processes
- Differentials of fuzzy functions
- A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread
- Bootstrap techniques and fuzzy random variables: synergy in hypothesis testing with fuzzy data
- Bootstrapping general empirical measures
- An ANOVA test for functional data
- Additive prediction and boosting for functional data
- Generalized profiling estimation for global and adaptive penalized spline smoothing
- Bootstrap approach to the multi-sample test of means with imprecise data
- A fuzzy representation of random variables: An operational tool in exploratory analysis and hypothesis testing
- On the use of the bootstrap for estimating functions with functional data
- Triangular fuzzification of random variables and power of distribution tests: Empirical discussion
- Statistics for functional data
- Statistical inference about the means of fuzzy random variables: applications to the analysis of fuzzy- and real-valued data
- The concept of normality for fuzzy random variables
- Convex analysis and measurable multifunctions
- A note on the extension principle for fuzzy sets
- The concept of a linguistic variable and its application to approximate reasoning. I
- Functional data analysis
- Applied functional data analysis. Methods and case studies
- 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
- Nonparametric functional data analysis. Theory and practice.
- On the Theory of Scales of Measurement
- A $D_E[0,1$ representation of random upper semicontinuous functions]
- Functional Modelling and Classification of Longitudinal Data*
- Fuzzy random variables
- On the formalization of fuzzy random variables
- Two-sample hypothesis tests of means of a fuzzy random variable
This page was built for publication: Fuzzy data treated as functional data: a one-way ANOVA test approach