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On Statistical Inference for Non-Precise Data

✍ Scribed by Reinhard Viertl

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
352 KB
Volume
8
Category
Article
ISSN
1180-4009

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✦ Synopsis

In this paper the problem of real non-precise measurement data and their statistical analysis is considered. These data are usually not precise numbers or precise vectors, but more or less non-precise. This imprecision is dierent from statistical variation of data. It is also dierent from measurement errors. Special forms of fuzzy subsets of the real line can be used to describe non-precise data. Those non-precise numbers are characterized by so-called characterizing functions. Based on the description of non-precise data by characterizing functions, dierent methods from statistical inference can be generalized to the situation of non-precise measurements. The basic constructions of this generalized inference methods are given in this paper as well as some examples of how characterizing functions can be obtained for real nonprecise observations.

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