Fundamentals of Statistics with Fuzzy Data / Edition 1

by Hung T. Nguyen, Berlin Wu

Overview

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 building statistical concepts and procedures in the context of imprecise data, including coarse data analysis. The monograph also aims at motivating statisticians to look at fuzzy statistics to enlarge the domain of applicability of statistics in general.

Hung T. Nguyen is a professor of Mathematical Sciences at New Mexico State University, USA.

Berlin Wu is a professor of Mathematical Sciences at National Chengchi University, Taipei, Taiwan.

Product Details

ISBN-13:	9783642068577
Publisher:	Springer Berlin Heidelberg
Publication date:	11/29/2010
Series:	Studies in Fuzziness and Soft Computing , #198
Edition description:	Softcover reprint of hardcover 1st ed. 2006
Pages:	196
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

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.