Frequentist evaluation of intervals estimated for a binomial parameter and for the ratio of Poisson means

Cousins, R.; Hymes, Kathryn E.; Tucker, J.

doi:10.1016/j.nima.2009.10.156

Cited by 19 publications

(24 citation statements)

References 67 publications

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“…The signal efficiencies and the corresponding uncertainties due to limited sample sizes are calculated with the Wilson score interval [76]. Typical values of the uncertainties for SR bins with at least 5% of the yields at a given signal point are within 1-4%.…”

Section: Sourcementioning

confidence: 99%

Search for resonant production of second-generation sleptons with same-sign dimuon events in proton–proton collisions at $$\sqrt{s} = 13\,\text {TeV} $$ s = 13 TeV

Sirunyan¹,

Tumasyan²,

Adam³

et al. 2019

Eur. Phys. J. C

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A search is presented for resonant production of second-generation sleptons ( , ) via the R -parity-violating coupling to quarks, in events with two same-sign muons and at least two jets in the final state. The smuon (muon sneutrino) is expected to decay into a muon and a neutralino (chargino), which will then decay into a second muon and at least two jets. The analysis is based on the 2016 data set of proton-proton collisions at recorded with the CMS detector at the LHC, corresponding to an integrated luminosity of 35.9 . No significant deviation is observed with respect to standard model expectations. Upper limits on cross sections, ranging from 0.24 to 730 , are derived in the context of two simplified models representing the dominant signal contributions leading to a same-sign muon pair. The cross section limits are translated into coupling limits for a modified constrained minimal supersymmetric model with as the only nonzero R -parity violating coupling. The results significantly extend restrictions of the parameter space compared with previous searches for similar models.

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Section: Sourcementioning

confidence: 99%

Search for resonant production of second-generation sleptons with same-sign dimuon events in proton–proton collisions at $$\sqrt{s} = 13\,\text {TeV} $$ s = 13 TeV

Sirunyan¹,

Tumasyan²,

Adam³

et al. 2019

Eur. Phys. J. C

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show abstract

“…A frequentist study of the coverage for different solutions of the Poisson problem, in which the reference posterior (which corresponds to the use of the Jeffreys' prior) is also included, is presented in Ref. [17]. We adopted a similar treatment to study few examples in which the small sample size is clearly far from the asymptotic limit, such that the coverage properties are not expected to be ideal.…”

Section: E[b]mentioning

confidence: 99%

“…The horizontal line in 1D plots shows the nominal coverage. Figures 12,13,14,15,16,and 17 show the false exclusion rate (which is the average fraction of times the true signal is above the 95% upper limit) and the bias of the posterior mode, mean and median (which is the difference between the estimator and the true signal), as a function of true signal and background (left plots) and as a function of the true signal alone, for the case in which the true background coincides with the prior expectation. Only the posteriors obtained with a prior background expectation E[b] = 2 counts with relative uncertainties of 10%, 50% and 100% are shown.…”

Section: E Summaries Of the Solutions And Their Propertiesmentioning

confidence: 99%

Reference analysis of the signal + background model in counting experiments

Casadei

2012

J. Inst.

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The model representing two independent Poisson processes, labelled as "signal" and "background" and both contributing additively to the total number of counted events, is considered from a Bayesian point of view. This is a widely used model for the searches of rare or exotic events in presence of a background source, as for example in the searches performed by highenergy physics experiments. In the assumption of prior knowledge about the background yield, a reference prior is obtained for the signal alone and its properties are studied. Finally, the properties of the full solution, the marginal reference posterior, are illustrated with few examples.

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“…[2,3,7] . In our case the technique amounts to taking only half the probability in the rst term of Eq.…”

Section: Sumerling and Darby Mid-p Versionmentioning

confidence: 99%

“…It has long been known that this result is due to the discrete nature of counting statistics and the e ects are especially severe in the low-level region (see e.g. [2,7,14]). Interestingly, the most well-known method in the health physics eld, given by Currie [9], also showed the worst result with regard to α , even for intermediate count rates, while the method of Stapleton showed good results, i.e.…”

Section: Introductionmentioning

confidence: 99%

A real-time statistical alarm method for mobile gamma spectrometry—Combining counts of pulses with spectral distribution of pulses

Kock

Lanke

Samuelsson

2012

Nuclear Instruments and Methods in Physics Research Section A:

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A well-founded decision needs to take into account as much information from a sample as possible. In gamma spectrometry, the number of photons and their energy are the two quantities readily accessible to the physicist and both should be used in order to increase the power of a statistical test.While the problem of counts of pulses has been much studied the problem of spectral distribution of pulses has been generally overlooked. This work presents a statistical test combining tests on count rate and tests on spectral distribution. The proposed method is shown to have an acceptable false positive rate and, when compared with two other test statistics found in the literature, greater power.

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Frequentist evaluation of intervals estimated for a binomial parameter and for the ratio of Poisson means

Cited by 19 publications

References 67 publications

Search for resonant production of second-generation sleptons with same-sign dimuon events in proton–proton collisions at $$\sqrt{s} = 13\,\text {TeV} $$ s = 13 TeV

Search for resonant production of second-generation sleptons with same-sign dimuon events in proton–proton collisions at $$\sqrt{s} = 13\,\text {TeV} $$ s = 13 TeV

Reference analysis of the signal + background model in counting experiments

A real-time statistical alarm method for mobile gamma spectrometry—Combining counts of pulses with spectral distribution of pulses

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