Fuzzy Probability and Statistics

  • James J. Buckley

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

  • James J. Buckley
    • 1
  1. 1.Department of MathematicsUniversity of Alabama at BirminghamBirminghamUSA

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-33190-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-30841-6
  • Online ISBN 978-3-540-33190-2
  • Series Print ISSN 1434-9922
  • About this book