1991
DOI: 10.1086/170124
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Determination of confidence limits for experiments with low numbers of counts

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Cited by 477 publications
(558 citation statements)
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“…Finally, count rates were obtained using the exposure time at the source position extracted from the exposure map. We estimated a 95% confidence upper limit for the count rate at the position of "J" in the 2003 Dec. observation using the algorithm of Kraft et al (1991). In Table 2 we summarize the relevant Xray parameters of the Z CMa binary and the source "J" identified with the jet.…”
Section: Data Analysis and Resultsmentioning
confidence: 99%
“…Finally, count rates were obtained using the exposure time at the source position extracted from the exposure map. We estimated a 95% confidence upper limit for the count rate at the position of "J" in the 2003 Dec. observation using the algorithm of Kraft et al (1991). In Table 2 we summarize the relevant Xray parameters of the Z CMa binary and the source "J" identified with the jet.…”
Section: Data Analysis and Resultsmentioning
confidence: 99%
“…The fluxes were determined by integrating the line over 6.4 Å centered on the doublet; the integration limits were set by visual examination of the individual spectra. The significance of these detections can be estimated from the off-source background in the images, as discussed by Kraft, Burrows, & Nousek (1991); see also Babu & Feigelson (1996). The image of each STIS spectrum shows a clear variation in the background along the dispersion direction, likely due to scattered light from the strong Lya airglow present.…”
Section: Resultsmentioning
confidence: 99%
“…Using the Bayesian method described by Kraft et al (1991), we have estimated the 68.3% confidence limits. 3 The flux confidence limits for each spectrum are reported in Table 1.…”
Section: Resultsmentioning
confidence: 99%
“…In the source region we then count the number of photons recorded in the various energy bands and detectors, listed in column "s" in Table 2. Source counts are given with 1σ confidence limits for low count numbers according to Kraft et al (1991); for a detailed discussion, see Ayres (2004). The scaled background counts (denoted "b") were taken from areas much larger than the source region, and thus the error on the background is dominated by statistical fluctuations.…”
Section: Xmm-newton Data Analysismentioning
confidence: 99%