Fuzzy representations of real-valued random variables: applications to exploratory and inferential studies

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• 作者：A. Blanco-Fernández (1)
  A. B. Ramos-Guajardo (1)
  A. Colubi (1)
  
• 关键词：Fuzzy representation ; Inferential studies ; Symmetry ; Goodness of fit ; Equality of distributions
• 刊名：METRON
• 出版年：2013
• 出版时间：November 2013
• 年：2013
• 卷：71
• 期：3
• 页码：245-259
• 全文大小：
• 作者单位：A. Blanco-Fernández (1)
  A. B. Ramos-Guajardo (1)
  A. Colubi (1)
  
  1. Statistics and Operational Research Department, University of Oviedo, 33007?, Oviedo, Spain
  
• ISSN：2281-695X

文摘

The so-called fuzzy representations of real-valued random variables are reviewed. They are used to visualize or/and characterize distributions through fuzzy sets. Various fuzzy representations useful to explore or test about different characteristics of real distributions are described. The main developments concerning the representation, goodness-of-fit, equality of distribution and asymmetry are overviewed. New inferential strategies for the equality of two-paired distributions based on bootstrap techniques are introduced. They are analyzed theoretically and empirically.