| Title:
|
On the description and analysis of measurements of continuous quantities (English) |
| Author:
|
Viertl, Reinhard |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
38 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
[353]-362 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
non-precise data |
| Keyword:
|
hypothesis testing |
| MSC:
|
62-07 |
| idZBL:
|
Zbl 1265.62001 |
| idMR:
|
MR1944315 |
| . |
| Date available:
|
2009-09-24T19:46:42Z |
| Last updated:
|
2015-03-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135469 |
| . |
| Reference:
|
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