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An alternative mathematical foundation for statistics. (English) Zbl 1090.60503
Summary: 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.

MSC:
60A99 Foundations of probability theory
03H10 Other applications of nonstandard models (economics, physics, etc.)
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