caa a22 4500 47579317X CHVBK 20180406123716.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1007/s001840000047 doi (NATIONALLICENCE)springer-10.1007/s001840000047 Näther Wolfgang TU Bergakademie Freiberg, Fakultät für Mathematik und Informatik, 09596 Freiberg, Germany (e-mail: naether@math.tu-freiberg.de), DE aut On random fuzzy variables of second order and their application to linear statistical inference with fuzzy data [Elektronische Daten] [Wolfgang Näther] Abstract.: This paper summarizes some results on random fuzzy variables with existing expectation and variance, called random fuzzy variables of second order. Using the Frechét-principle and - via support functions - the embedding of convex fuzzy sets into a Banach space of functions it especially presents a unified view on expectation and variance of random fuzzy variables. These notions are applied in developing linear statistical inference with fuzzy data. Detailed investigations are presented concerning best linear unbiased estimation in linear regression models with fuzzy observations. Springer-Verlag Berlin Heidelberg, 2000 Key words: Expectation and variance of random fuzzy variables nationallicence linear regression with fuzzy data nationallicence https://doi.org/10.1007/s001840000047 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001840000047 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Näther Wolfgang TU Bergakademie Freiberg, Fakultät für Mathematik und Informatik, 09596 Freiberg, Germany (e-mail: naether@math.tu-freiberg.de), DE aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer