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Statistical Methods for Fuzzy Data by Reinhard Viertl

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Index

A

acceptance region

adapted cumulative sum

addition of fuzzy numbers

a-posteriori density

a-posteriori distribution

a-priori density

a-priori distribution

Aumann expectation

Axonometric diagram

B

Bayes’ formula

Bayes’ theorem

Bayes’ theorem for fuzzy a-priori distribution

Bayes’ theorem for fuzzy a-priori distribution and fuzzy data

Bayesian confidence regions

Bayesian decisions

Bayesian inference

beta distribution

Bochner expectation

Borel - measurable

Borel sets

C

Cartesian product

characterizing function

class of a histogram

classical function

classical probability distribution

classical statistical inference

color intensity pictures

combined fuzzy sample

combination of fuzzy samples

combination rule

compact set

complete data

complete probability space

components model

concrete sample

confidence function

confidence interval

confidence level

confidence regions based on fuzzy data

continuous parameter space

convergence

correlation coefficient

coverage probability

cumulative sum for fuzzy data

D

data, xi

decision

description of fuzzy data

descriptive statistics

difference filter

difference of fuzzy numbers

discrete models with continuous parameter space

discrete parameter space

discrete probability

δ-cut

δ-cut representation

δ-level function

E

empirical correlation coefficient

empirical distribution function

empirical distributions

empirical fractiles

errors

estimations based on fuzzy samples

event

expectation

expected loss

expected utility

exponential distribution

exponential ...

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