Setting confidence belts

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0 Setting Confidence Belts

We propose using a Bayes procedure with uniform improper prior to determine credible belts for the mean of a Poisson distribution in the presence of background and for the continuous problem of measuring a non-negative quantity θ with a normally distributed measurement error. Within the Bayesian framework, these belts are optimal. The credible limits are then examined from a frequentist point o...

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Comments on Methods for Setting Confidence Limits

I discuss a number of issues which arise when computing confidence limits by frequentist or Bayesian methods. I begin with a reminder why P(hypothesis data) cannot be determined if the only input is the ‘objective’ data. I then discuss confidence intervals, with emphasis on the ‘unified approach’ based on likelihood-ratio ordering, and related methods. A number of issues arise, including condit...

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Setting Confidence Intervals in Coincidence Search Analysis

The main technique that has been used to estimate the rate of gravitational wave (gw) bursts is to search for coincidence among times of arrival of candidate events in different detectors. Coincidences are modelled as a (possibly non-stationary) random time series background with gw events embedded in it, at random times but constant average rate. It is critical to test whether the statistics o...

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[Setting Confidence Intervals for Bounded Parameters]: Comment

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Contrasting clay mineral assemblages in British Lower Palaeozoic slate belts: the influence of geotectonic setting

Regional differences in clay mineralogy are found in British Lower Palaeozoic slate belts formed during Caledonian terrane amalgamation. Extensional basins in Wales, the northern Lake District and the Isle of Man are characterized by a greater diversity of species in clay mineral assemblages. Slates that evolved in these basins contain both the Kand Na-rich products of the 2:1 dioctahedral reac...

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ژورنال

عنوان ژورنال: Physical Review D

سال: 2000

ISSN: 0556-2821,1089-4918

DOI: 10.1103/physrevd.63.013009