The distribution of composite measurements: How to be certain of the uncertainties in what we measure

We derive expressions for the exact probability distribution functions and statistical moments of measurements represented as products and quotients of independent random variables, test these relations by means of the α and β branching decays of 212 Bi , and discuss the implications of our theory f...

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Bibliographic Details
Published in:American journal of physics 2004-08, Vol.72 (8), p.1068-1081
Main Authors: Silverman, M. P., Strange, W., Lipscombe, T. C.
Format: Article
Language:English
Subjects:
Cardiovascular disease
Lipids
Measurement
Probability
Random variables
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Summary:We derive expressions for the exact probability distribution functions and statistical moments of measurements represented as products and quotients of independent random variables, test these relations by means of the α and β branching decays of 212 Bi , and discuss the implications of our theory for the measurement of lipid-panel analytes in the assessment of the risk of coronary heart disease.
ISSN:0002-9505
1943-2909
DOI:10.1119/1.1738426