• Publications
  • Influence
Statistical inference about the means of fuzzy random variables: Applications to the analysis of fuzzy- and real-valued data
  • A. Colubi
  • Mathematics, Computer Science
  • Fuzzy Sets Syst.
  • 1 February 2009
TLDR
The expected value of a fuzzy random variable plays an important role as central summary measure and for this reason, in the last years valuable statistical inferences about the means of the fuzzy random variables have been developed. Expand
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Fuzzy data treated as functional data: A one-way ANOVA test approach
TLDR
The use of the fuzzy scale of measurement to describe an important number of observations from real-life attributes or variables is first explored. Expand
  • 129
  • 7
  • PDF
Least squares estimation of linear regression models for convex compact random sets
TLDR
Simple and multiple linear regression models are considered between variables whose “values” are convex compact random sets in $${\mathbb{R}^p}$. Expand
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  • 5
A generalized strong law of large numbers
Abstract. Strong laws of large numbers have been stated in the literature for measurable functions taking on values on different spaces. In this paper, a strong law of large numbers which generalizesExpand
  • 102
  • 4
A linear regression model for imprecise response
TLDR
A linear regression model with imprecise response and p real explanatory variables is analyzed. Expand
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  • 4
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A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread
TLDR
We construct new families of metrics on the family of all d-dimensional compact convex fuzzy sets, which both exhibit many good and intuitive properties and are easy to calculate. Expand
  • 124
  • 2
Asymptotic and Bootstrap techniques for testing the expected value of a fuzzy random variable
Abstract.In this paper we will consider hypothesis-tests for the (fuzzy-valued) mean value of a fuzzy random variable in a population. For this purpose, we will make use of a generalized metric forExpand
  • 96
  • 2
Bootstrap techniques and fuzzy random variables: Synergy in hypothesis testing with fuzzy data
TLDR
We show that the one-sample method of testing about the mean of a fuzzy random variable can be extended to general ones (more precisely, to those whose range is not necessarily finite and whose values are fuzzy subsets of finite-dimensional Euclidean space). Expand
  • 91
  • 2
Estimation of a simple linear regression model for fuzzy random variables
TLDR
A generalized simple linear regression statistical/probabilistic model in which both input and output data can be fuzzy subsets of R^p is dealt with. Expand
  • 71
  • 2
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Testing linear independence in linear models with interval-valued data
TLDR
Testing methods are introduced in order to determine whether there is some 'linear' relationship between imprecise predictor and response variables in a regression analysis. Expand
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  • 2
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