Fuzzy Probability and Statistics

• Main Author: Buckley, James J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Studies in Fuzziness and Soft Computing, 196
• Subjects: Computer science.; Political science.; Computers.; Artificial intelligence.; Applied mathematics.; Engineering mathematics.; Computer Science.; Theory of Computation.; Appl.Mathematics/Computational Methods of Engineering.; Artificial Intelligence (incl. Robotics).; Political Science.

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...

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.