# Fuzzy Probability and Statistics

• James J. Buckley
Book

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

1. Front Matter
Pages i-xiii
2. Pages 1-6
3. Pages 7-19
4. Pages 21-49
5. Pages 51-60
6. Pages 61-74
7. Pages 75-79
8. Pages 81-83
9. Pages 85-87
10. Pages 89-94
11. Pages 95-99
12. Pages 101-105
13. Pages 107-114
14. Pages 115-124
15. Pages 125-141
16. Pages 143-149
17. Pages 151-157
18. Pages 159-162
19. Pages 163-166
20. Pages 167-170
21. Pages 171-175
22. Pages 177-179
23. Pages 181-185
24. Pages 187-192
25. Pages 193-195
26. Pages 197-201
27. Pages 203-207
28. Pages 209-217
29. Pages 219-221
30. Pages 223-234
31. Pages 235-251
32. Pages 253-256
33. Back Matter
Pages 257-270

### 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
• Buy this book on publisher's site
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