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Fuzzy Probability and Statistics

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Fuzzy Probability and Statistics Synopsis

This book combines material from our previous books FP (Fuzzy Probabilities: New Approach and Applications,Physica-Verlag, 2003) and FS (Fuzzy Statistics, Springer, 2004), plus has about one third new results. From FP we have material on basic fuzzy probability, discrete (fuzzy Poisson,binomial) and continuous (uniform, normal, exponential) fuzzy random variables. From FS we included chapters on fuzzy estimation and fuzzy hypothesis testing related to means, variances, proportions, correlation and regression. New material includes fuzzy estimators for arrival and service rates, and the uniform distribution, with applications in fuzzy queuing theory. Also, new to this book, is three chapters on fuzzy maximum entropy (imprecise side conditions) estimators producing fuzzy distributions and crisp discrete/continuous distributions. Other new results are: (1) two chapters on fuzzy ANOVA (one-way and two-way); (2) random fuzzy numbers with applications to fuzzy Monte Carlo studies; and (3) a fuzzy nonparametric estimator for the median.

About This Edition

ISBN: 9783642068096
Publication date:
Author: James J Buckley
Publisher: Springer an imprint of Springer Berlin Heidelberg
Format: Paperback
Pagination: 270 pages
Series: Studies in Fuzziness and Soft Computing
Genres: Mathematical theory of computation
Artificial intelligence
Political science and theory
Maths for engineers