Univariate statistical analysis with fuzzy data

Authors:
Reinhard Viertl
Affiliations:
Institute of Statistics and Probability Theory, Vienna University of Technology, Wiedner Hauptstrasse 8/107, 1040 Wien, Austria
Venue:
Computational Statistics & Data Analysis
Year:
2006

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Abstract

Statistical data are frequently not precise numbers but more or less non-precise, also called fuzzy. Measurements of continuous variables are always fuzzy to a certain degree. Therefore histograms and generalized classical statistical inference methods for univariate fuzzy data have to be considered. Moreover Bayesian inference methods in the situation of fuzzy a priori information and fuzzy data are discussed.