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Statistical estimation with linguistic data. (English) Zbl 0588.62006
Suppose the distribution of a population is characterized by a parameter \(\Gamma\), whose value is not numerical, as usually is the case, but linguistic. The problem is to make a good guess about \(\Gamma\), especially in the case when only linguistic data are available. In this paper the theory of fuzzy random variables is used to solve this problem: A method for the construction of consistent and unbiased estimates is given.

MSC:
62B10 Statistical aspects of information-theoretic topics
62A01 Foundations and philosophical topics in statistics
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
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