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© 2006

Fuzzy Probability and Statistics

Benefits

  • Clear and didactic book about fuzzy probabilities and statistics useful for students and researchers

Book

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 196)

Table of contents

About this book

Introduction

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.

Keywords

ANOVA Estimator Fuzzy Fuzzy Probabilities Fuzzy Statistics Maple Median Probability theory Random variable Regression Variance correlation fuzzy set linear regression statistics

Authors and affiliations

  1. 1.Department of MathematicsUniversity of Alabama at BirminghamBirminghamUSA

Bibliographic information

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Reviews

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)