Geodesic
On the description and analysis of measurements of continuous quantities
Kybernetika, Tome 38 (2002) no. 3, pp. 353-362

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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The measurement of continuous quantities is the basis for all mathematical and statistical analysis of phenomena in engineering and science.Therefore a suitable mathematical description of measurement results is basic for realistic analysis methods for such data. Since the result of a measurement of a continuous quantity is not a precise real number but more or less non- precise, it is necessary to use an appropriate mathematical concept to describe measurements. This is possible by the description of a measurement result by a so-called non-precise number. A non-precise number is a generalization of a real number and is defined by a so-called characterizing function. In case of vector valued quantities the concept of so-called non- precise vectors can be used. Based on these concepts more realistic data analysis methods for measurement data are possible.
The measurement of continuous quantities is the basis for all mathematical and statistical analysis of phenomena in engineering and science.Therefore a suitable mathematical description of measurement results is basic for realistic analysis methods for such data. Since the result of a measurement of a continuous quantity is not a precise real number but more or less non- precise, it is necessary to use an appropriate mathematical concept to describe measurements. This is possible by the description of a measurement result by a so-called non-precise number. A non-precise number is a generalization of a real number and is defined by a so-called characterizing function. In case of vector valued quantities the concept of so-called non- precise vectors can be used. Based on these concepts more realistic data analysis methods for measurement data are possible.
Classification : 62-07
Keywords: non-precise data; hypothesis testing 
Viertl, Reinhard. On the description and analysis of measurements of continuous quantities. Kybernetika, Tome 38 (2002) no. 3, pp. 353-362. http://geodesic.mathdoc.fr/item/KYB_2002_38_3_a10/
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