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Inhaltsverzeichnis
1 Introduction. - 2 Vague Data. - 3 Fuzzy Sets of the Real Line. - 4 Operations on Fuzzy Sets. - 4. 1 Set Theoretical Operations. - 4. 2 On Zadeh s Extension Principle. - 4. 3 Arithmetic Operations. - 5 Representation of Vague Data in a Digital Computer. - 6 Topological Properties of Fuzzy Set Spaces. - 7 Random Sets and Fuzzy Random Variables. - 8 Descriptive Statistics with Vague Data. - 8. 1 Expected Value. - 8. 2 Variance. - 8. 3 Empirical Distribution Function. - 9 Distribution Functions and i. i. d. -Sequences of Random Variables. - 10 Limit Theorems. - 10. 1 Strong Law of Large Numbers. - 10. 2 Consistent Estimators in the Finite Case. - 10. 3 Gliwenko-Cantelli Theorem. - 10. 4 Related Results. - 11 Some Aspects of Statistical Inference. - 11. 1 Parametric Point Estimation. - 11. 2 Confidence Estimation. - 11. 3 The Testing of Hypotheses. - 12 On a Software Tool for Statistics with Vague Data. - 12. 1 Linguistic Modelling. - 12. 2 Linguistic Approximation. - 12. 3 Examples. - References. - List of Symbols.
