We use a version of Non-standard Analysis with a double scale of order of magnitude to develop an alternative foundation for Statistics. The corresponding theory is intermediate between Statistics and Probability Theory and we view it as a link between Frequency Statistics and Probability.
An alternative mathematical foundation for Statistics
MUSIO, MONICA
2005-01-01
Abstract
We use a version of Non-standard Analysis with a double scale of order of magnitude to develop an alternative foundation for Statistics. The corresponding theory is intermediate between Statistics and Probability Theory and we view it as a link between Frequency Statistics and Probability.
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