THE PHYSICAL SIGNIFICANCE OF CONFIDENCE INTERVALS
نویسندگان
چکیده
منابع مشابه
The Physical Significance of Confidence Intervals
We define some appropriate statistical quantities that indicate the physical significance (reliability) of confidence intervals in the framework of both Frequentist and Bayesian statistical theories. We consider the expectation value of the upper limit in the absence of a signal (that we propose to call “exclusion potential”, instead of “sensitivity” as done by Feldman and Cousins) and its stan...
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It is shown that all the Frequentist methods are equivalent from a statistical point of view, but the physical significance of the confidence intervals depends on the method. The Bayesian Ordering method is presented and confronted with the Unified Approach in the case of a Poisson process with background. Some criticisms to both methods are answered. It is also argued that a general Frequentis...
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It is shown that the necessity to choose a specific Frequentist method, among several available, for the analysis of experimental data does not introduce any degree of subjectivity from a statistical point of view. However, the physical significance of confidence intervals obtained with different methods is different. Considering the case of a Poisson process with known background, we show that...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics C
سال: 2001
ISSN: 0129-1831,1793-6586
DOI: 10.1142/s0129183101002413