Studies in Fuzziness and Soft Computing

Fuzzy Probability and Statistics

Authors: Buckley, James J.

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About this book

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

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)


Table of contents (31 chapters)

Table of contents (31 chapters)
  • Introduction

    Pages 1-6

  • Fuzzy Sets

    Pages 7-19

  • Fuzzy Probability Theory

    Pages 21-49

  • Discrete Fuzzy Random Variables

    Pages 51-60

  • Continuous Fuzzy Random Variables

    Pages 61-74

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-540-33190-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-540-30841-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA in USD
  • ISBN 978-3-642-06809-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fuzzy Probability and Statistics
Authors
Series Title
Studies in Fuzziness and Soft Computing
Series Volume
196
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-33190-2
DOI
10.1007/3-540-33190-5
Hardcover ISBN
978-3-540-30841-6
Softcover ISBN
978-3-642-06809-6
Series ISSN
1434-9922
Edition Number
1
Number of Pages
XIII, 270
Topics