Fuzzy Probability and Statistics / Edition 1

Fuzzy Probability and Statistics / Edition 1

by James J. Buckley
     
 

View All Available Formats & Editions

ISBN-10: 3540308415

ISBN-13: 9783540308416

Pub. Date: 04/11/2006

Publisher: Springer Berlin Heidelberg

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.

Overview

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.

Product Details

ISBN-13:
9783540308416
Publisher:
Springer Berlin Heidelberg
Publication date:
04/11/2006
Series:
Studies in Fuzziness and Soft Computing Series, #196
Edition description:
2006
Pages:
270
Product dimensions:
6.10(w) x 9.40(h) x 0.80(d)

Table of Contents

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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >