Statistics with Fuzzy Random Variables

作者: Pierpaolo D'Urso , Ana Colubi , Renato Coppi , Maria Ángeles Gil

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摘要: The notion of Fuzzy Random Variable has been introduced to model random mechanisms generating imprecisely-valued data. Probabilistic aspects these elements have deeply discussed in the literature. However, statistical analysis fuzzy variables not received so much attention, spite that implications this range over many fields, including Medicine, Sociology, Economics, and on. A summary basic ideas underlying is presented. Then, some related parameters will be recalled, recent studies described.

参考文章(38)
Ralf Körner, Wolfgang Näther, On the variance of random fuzzy variables Physica, Heidelberg. pp. 25- 42 ,(2002) , 10.1007/978-3-7908-1800-0_2
M. Asunción Lubiano, M. Angeles Gil, Estimating the expected value of fuzzy random variables in random samplings from finite populations Statistical Papers. ,vol. 40, pp. 277- 295 ,(1999) , 10.1007/BF02929876
Carlo Bertoluzza, Norberto Corral Blanco, Antonia Salas, On a new class of distances between fuzzy numbers soft computing. ,vol. 2, pp. 71- 84 ,(1995)
Luigi Di Lascio, Antonio Gisolfi, Antonio Albunia, Giuseppe Galardi, Franco Meschi, A fuzzy-based methodology for the analysis of diabetic neuropathy Fuzzy Sets and Systems. ,vol. 129, pp. 203- 228 ,(2002) , 10.1016/S0165-0114(01)00122-1
Madan L Puri, Dan A Ralescu, Fuzzy random variables Journal of Mathematical Analysis and Applications. ,vol. 114, pp. 409- 422 ,(1986) , 10.1016/0022-247X(86)90093-4
Przemysław Grzegorzewski, The coefficient of concordance for vague data Computational Statistics & Data Analysis. ,vol. 51, pp. 314- 322 ,(2006) , 10.1016/J.CSDA.2006.04.027
A. Wünsche, W. Näther, Least-squares fuzzy regression with fuzzy random variables Fuzzy Sets and Systems. ,vol. 130, pp. 43- 50 ,(2002) , 10.1016/S0165-0114(02)00103-3
Olgierd Hryniewicz, Goodman-Kruskal γ measure of dependence for fuzzy ordered categorical data Computational Statistics & Data Analysis. ,vol. 51, pp. 323- 334 ,(2006) , 10.1016/J.CSDA.2006.04.014
Volker Krätschmer, Least-squares estimation in linear regression models with vague concepts Fuzzy Sets and Systems. ,vol. 157, pp. 2579- 2592 ,(2006) , 10.1016/J.FSS.2003.02.001