A new way of quantifying the symmetry of a random variable: estimation and hypothesis testing

DOI10.1016/j.jspi.2012.06.006zbMath1348.62161OpenAlexW1979198305MaRDI QIDQ451182

Gil González-Rodríguez, Ana Colubi, María Asunción Lubiano, María Ángeles Gil Álvarez

Publication date: 21 September 2012

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2012.06.006

zbMATH Keywords

bootstrap testrandom fuzzy settest of symmetryfunctional characterization of the distributionskewness measure

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Nonparametric statistical resampling methods (62G09) Nonparametric inference and fuzziness (62G86)

Related Items (4)

Fuzziness in data analysis: towards accuracy and robustness ⋮ Independent k-Sample Equality Distribution Test Based on the Fuzzy Representation ⋮ Fuzzy representations of real-valued random variables: applications to exploratory and inferential studies ⋮ A distance-based statistical analysis of fuzzy number-valued data

Cites Work

• Fuzzy data treated as functional data: a one-way ANOVA test approach
• A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread
• Bootstrapping general empirical measures
• A fuzzy representation of random variables: An operational tool in exploratory analysis and hypothesis testing
• Triangular fuzzification of random variables and power of distribution tests: Empirical discussion
• The concept of normality for fuzzy random variables
• One-sample run tests of symmetry
• Empirical likelihood based hypothesis testing
• Likelihood ratio tests for symmetry against one-sided alternatives
• Tests of symmetry based on transformed empirical processes
• A characterization of and new consistent tests for symmetry
• A Modified Sign Test for Symmetry
• Nonparametric weighted symmetry tests
• A TEST FOR SYMMETRY BASED ON DENSITY ESTIMATES
• A Cramer Von-Mises Type Statistic for Testing Symmetry
• A $D_E[0,1$ representation of random upper semicontinuous functions]
• Goodness‐of‐fit Tests Based on the Kernel Density Estimator
• An Asymptotically Nonparametric Test of Symmetry
• A Test for Symmetry Using the Sample Distribution Function
• Asymptotic Properties of Rank Tests of Symmetry Under Discrete Distributions
• Fuzzy random variables
• A modified runs test for symmetry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new way of quantifying the symmetry of a random variable: estimation and hypothesis testing