A Distribution-Independent Bound on the Level of Confidence in the Result of a Measurement

测量结果置信水平的分布无关界限

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Abstract

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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