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Fuzzy statistics

Author: James J Buckley
Publisher: Berlin ; New York : Springer, ©2004.
Series: Studies in fuzziness and soft computing, v. 149.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 estimators for various important and special cases of variance, mean and distribution functions. It is shown how to use  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
(OCoLC)54529342
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: James J Buckley
ISBN: 9783540399193 3540399194 9783642059247 3642059244
OCLC Number: 321321269
Description: 1 online resource (xi, 167 pages) : illustrations.
Contents: Introduction --
Fuzzy Sets --
Estimate, Variance Known --
Estimate, Variance Unknown --
Estimate p, Binomial Population --
Estimate sigma from a Normal Population --
Estimate 1 --
2, Variances Known --
Estimate 1 --
2, Variances Unknown --
Estimate d = 1 --
2, Matched Pairs --
Estimate p1 --
p2, Binomial Populations --
Estimate sigma sub one squared/sigma sub two squared, Normal Populations --
Tests on, Variance Known --
Tests on, Variance Unknown --
Tests on p for a Binomial Population --
Tests on sigma2, Normal Population --
Tests 1 vs. 2, Variances Known --
Test 1 vs. 2, Variances Unknown --
Test p1 = p2, Binomial Populations --
Test d = 1 --
2, Matched Pairs --
Test sigma sub one squared vs. sigma sub two squared, 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.
Series Title: Studies in fuzziness and soft computing, v. 149.
Responsibility: James J. Buckley.

Abstract:

For example, in Chapter 12 we consider the test Ho : /1 = /10 verses HI : /1 f=- /10 where /1 is the mean of a normal distribution with known variance, but we use a fuzzy number (from Chapter 3)  Read more...

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