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Chapter and Conference Paper
Empirical Comparisons of Goodness-of-Fit Tests for Binomial Distributions Based on Fuzzy Representations
Fuzzy representations of a real-valued random variable have been introduced with the aim of capturing relevant information on the distribution of the variable, through the corresponding fuzzy-valued mean value...
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Chapter and Conference Paper
Some Properties of the d K -Variance for Interval-Valued Random Sets
The suitability of the family of d K -distances for intervals to quantify and estimate the variability of a random interval with respect to its Aumann expe...
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Chapter and Conference Paper
Empirical Results Concerning a Fuzzy-Based Measure of Symmetry of Real Random Variables
A new measure of skewness for real-valued random variables based on fuzzy tools has been recently introduced. The measure is derived from certain fuzzy representations of real-valued random variables which can...
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Chapter and Conference Paper
On a Linear Independence Test for Interval-Valued Random Sets
The linear relationship between interval-valued random sets can arise in different ways. Recently, a linear model based on the natural arithmetic for intervals has been studied. In order to test whether the ex...
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Chapter and Conference Paper
Asymptotic Tests for the Variance of a Fuzzy Random Variable Using the D K -Metric
In this communication we present a procedure to test whether the variance of a fuzzy random variable (FRV) is a given value or not by using asymptotic techniques. The variance considered here is defined in ter...
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Chapter and Conference Paper
Bootstrap Approach to Test the Linear Independence between Interval-valued Random Sets
In a previous paper we introduced the so-called ‘extended determination coefficient’ as a real-valued measure of the strength of association between two interval-valued random elements (assumed to be formalize...
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Chapter and Conference Paper
Introduction to ANOVA with Fuzzy Random Variables
In this paper we develop an introductory study on the Analysis of Variance when we deal with fuzzy random variables. Two different approaches are presented to solve the oneway ANOVA hypothesis testing. Finally...