Open AccessA distribution-independent bound on the level of confidence in the result of a measurement
Author(s) -
William T. Estler
Publication year - 1997
Publication title -
journal of research of the national institute of standards and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.202
H-Index - 59
eISSN - 2165-7254
pISSN - 1044-677X
DOI - 10.6028/jres.102.040
Subject(s) - confidence interval , statistics , chebyshev filter , mathematics , confidence distribution , distribution (mathematics) , upper and lower bounds , measurement uncertainty , mathematical analysis
The Bienaymé-Chebyshev Inequality provides a quantitative bound on the level of confidence of a measurement with known combined standard uncertainty and assumed coverage factor. The result is independent of the detailed nature of the probability distribution that characterizes knowledge of the measurand.
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