Fuzzy Statistics

• Main Author: Buckley, James J. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Studies in Fuzziness and Soft Computing, 149
• Subjects: Engineering.; Probabilities.; Applied mathematics.; Engineering mathematics.; Artificial intelligence.; Statistics .; Computational complexity.; Engineering, general.; Probability Theory and Stochastic Processes.; Mathematical and Computational Engineering.; Artificial Intelligence.; Statistics, general.; Complexity.

This monograph introduces elementary fuzzy statistics based on crisp (non-fuzzy) data. In the introductory chapters the book presents a very readable survey of fuzzy sets including fuzzy arithmetic and fuzzy functions. The book develops fuzzy estimation and demonstrates the construction of fuzzy est...

Table of Contents:

• Fuzzy Sets
• Estimate ?, Variance Known
• Estimate ?, Variance Unknown
• Estimate p, Binomial Population
• Estimate ?2 from a Normal Population
• Estimate µ 1 - µ 2, Variances Known
• Estimate ? 1 - ? 2, Variances Unknown
• Estimate d =? 1 - ? 2, Matched Pairs
• Estimate p 1 - p 2, Binomial Populations
• Estimate ? 1 2 /? 2 2 , Normal Populations
• Tests on µ, Variance Known
• Tests on µ, Variance Unknown
• Tests on p for a Binomial Population
• Tests on ? 2, Normal Population
• Tests ? 1 verses ? 2, Variances Known
• Test ? 1 verses ? 2, Variances Unknown
• Test p 1 = p 2, Binomial Populations
• Test d = µ 1 - µ 2 , Matched Pairs
• Test ? 1 2 verses ? 2 2 , Normal Populations
• 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
• Summary and Questions
• Maple Commands.