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arxiv: 0912.1555 · v1 · submitted 2009-12-08 · ⚛️ physics.data-an

Optimal upper bounds for non-negative parameters

classification ⚛️ physics.data-an
keywords confidenceboundsintervalslevelnon-negativeoptimalupperarxiv
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Using the techniques of [arXiv:0911.4271], upper bounds for a given confidence level are modified in an optimal fashion to incorporate the a priori information that the parameter being estimated is non-negative. A paradox with different confidence intervals for the same confidence level is clarified. The "lossy compression" nature of the device of confidence intervals is discussed and a "lossless" option to present results is pointed out.

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