Quotation Frühwirth-Schnatter, Sylvia. 1991. On the propagation of fuzziness of data. Environmetrics 2 241-251.


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Abstract

The object of this paper is to discuss how fuzziness of data is propagated when statistical inference for samples of non-precise data is carried out. The method of propagation of fuzziness as introduced by Schnatter (1989) is reviewed. This method may be applied to any statistical method which leads to a result that may be expressed as a function f(x1,...,xn) of the data x1,...,xn. It is outlined that practical application of this method is equal to determining the images of a family of compact subsets of the sample space under the function f(·). An illustrative example from environmetrics is discussed. The general approach is used to formulate a fuzzy sample mean and a fuzzy valued empirical distribution function.

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Publication's profile

Status of publication Published
Affiliation WU
Type of publication Journal article
Journal Environmetrics
Citation Index SCI
WU-Journal-Rating new FIN-A
Language English
Title On the propagation of fuzziness of data
Volume 2
Year 1991
Page from 241
Page to 251
URL http://onlinelibrary.wiley.com/doi/10.1002/env.3770020209/pdf

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Frühwirth-Schnatter, Sylvia (Details)
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Institute for Statistics and Mathematics IN (Details)
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