Fundamentals of Statistics with Fuzzy Data

• Main Authors: Nguyen, Hung T. (Author), Wu, Berlin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Studies in Fuzziness and Soft Computing, 198
• Subjects: Mathematics.; Artificial intelligence.; Applied mathematics.; Engineering mathematics.; Probabilities.; Statistics.; Probability Theory and Stochastic Processes.; Appl.Mathematics/Computational Methods of Engineering.; Artificial Intelligence (incl. Robotics).; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Applications of Mathematics.

This research monograph presents basic foundational aspects for a theory of statistics with fuzzy data, together with a set of practical applications. Fuzzy data are modeled as observations from random fuzzy sets. Theories of fuzzy logic and of random closed sets are used as basic ingredients in bui...

Table of Contents:

• Introduction
• Set-valued Data
• Modeling of fuzzy data
• Random fuzzy sets
• Aspect of statistical Inference
• Convergence of random fuzzy sets
• Fuzzy Statistical Analysis and Estimation
• Testing Hypothesis with Fuzzy Data
• Fuzzy Time Series Analysis and Forecasting.