ISBN: 3790814407
TITLE: Statistical Modeling
AUTHOR: Bertoluzza
TOC:

Foreword V
Preface IX
Contents XIII
PART 1. FUZZINESS AND RANDOMNESS
Fuzziness and randomness 3
Irwin R. Goodman and Hung T. Nguyen
PART 2. FUZZY-VALUED RANDOM ELEMENTS
On the variance of random fuzzy variables 25
Ralf Krner and Wolfgang Nther
f-inequality indices for fuzzy random variables 43
Mara Asuncin Lubiano and Maria Angeles Gil
Traditional techniques to prove some limit theorems for fuzzy random variables 64
Ana Colubi
Convergence in graph for fuzzy valued martingales and smartingales 72
Shoumei Li and Yukio Ogura
Remarks on Korovkin-type approximation of fuzzy random variables 90
Pedro Tern and Miguel Lpez-Daz
Several notions of differentiability for fuzzy set-valued mappings 104
Luis J. Rodrguez-Muiz
PART 3. POSSIBILITY, PROBABILITY AND FUZZY MEASURES
Average level of a fuzzy set 119
Dan A. Ralescu
Second order possibility measure induced by a fuzzy random variable 127
Ins Couso, Susana Montes, Pedro Gil
Measure extension from meet-systems and falling measures representation 145
P.Z. Wang, Y.C. Chen, B.T. Low
The structure of fuzzy measure families induced by upper and lower probabilities 160
Andrew G. Bronevich and Alexander N. Karkishchenko
Statistical classes and fuzzy set theoretical classification of probability distributions 173
Andrew G. Bronevich and Alexander N. Karkishchenko
PART 4. STATISTICS AND FUZZY DATA ANALYSIS
Statistics with one-dimensional fuzzy data 199
Reinhard Viertl
Testing fuzzy hypotheses with vague data 213
Przemystaw Grzegorzewski
Possibilistic interpretation of fuzzy statistical tests 226
Olgierd Hryniewicz
Possibilistic regression analysis 239
Hideo Tanaka, Peijun Guo
Linear regression in a fuzzy context. The least square method 255
Antonia Salas, Norberto Corral, Carlo Bertoluzza
Linear regression with random fuzzy observations 282
Wolfgang Nther and Ralf Krner
INDEX 307
END
