
Fuzzy Probability and Statistics
James J. Buckley(Author)
Springer (Publisher)
Published on 22. November 2010
Book
Paperback/Softback
XIII, 270 pages
978-3-642-06809-6 (ISBN)
Description
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.
Reviews / Votes
From the reviews:
"The reviewed book is an interesting and well organized monograph on fuzzy statistics which can be recommended for specialists and non-specialists in the field of fuzzy sets research." (Krzysztof Piasecki, Zentralblatt MATH, Vol. 1095 (21), 2006)
More details
Series
Edition
1st ed. Softcover of orig. ed. 2006
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XIII, 270 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 16 mm
Weight
502 gr
ISBN-13
978-3-642-06809-6 (9783642068096)
DOI
10.1007/3-540-33190-5
Schweitzer Classification
Other editions
Additional editions

James J. Buckley
Fuzzy Probability and Statistics
Book
02/2006
Springer
€106.99
Shipment within 7-9 days
Content
Fuzzy Sets.- Fuzzy Probability Theory.- Discrete Fuzzy Random Variables.- Continuous Fuzzy Random Variables.- Estimate ?, Variance Known.- Estimate ?, Variance Unknown.- Estimate p, Binomial Population.- Estimate ?2 from a Normal Population.- Fuzzy Arrival/Service Rates.- Fuzzy Uniform.- Fuzzy Max Entropy Principle.- Max Entropy: Crisp Discrete Solutions.- Max Entropy: Crisp Continuous Solutions.- Tests on ?, Variance Known.- Tests on ?, Variance Unknown.- Tests on p for a Binomial Population.- Tests on ?2, Normal Population.- Fuzzy Correlation.- Estimation in Simple Linear Regression.- Fuzzy Prediction in Linear Regression.- Hypothesis Testing in Regression.- Estimation in Multiple Regression.- Fuzzy Prediction in Regression.- Hypothesis Testing in Regression.- Fuzzy One-Way ANOVA.- Fuzzy Two-Way ANOVA.- Fuzzy Estimator for the Median.- Random Fuzzy Numbers.- Selected Maple/Solver Commands.- Summary and Future Research.