Table 1
Statistical results on P3/P0 and w for poissonized simulated cluster images.
| P3/P0 | P3/P0ideal | 1000 cts | 2000 cts | 30 000 cts | 170 000 cts | ||||
| mean P3/P0 | B P3 | mean P3/P0 | B P3 | mean P3/P0 | B P3 | mean P3/P0 | B P3 | ||
|
|
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| clus20165 | 4.0 × 10-9 | 3.7 × 10-8 ± 3.5 × 10-8 | 839 | 1.9 × 10-8 ± 2.0 × 10-8 | 376 | 4.9 × 10-9 ± 3.1 × 10-9 | 24 | 4.1 × 10-9 ± 1.4 × 10-9 | 3 |
| clus008 | 3.5 × 10-8 | 8.7 × 10-8 ± 8.4 × 10-8 | 152 | 7.2 × 10-8 ± 6.7 × 10-8 | 109 | 3.6 × 10-8 ± 1.3 × 10-8 | 5 | 3.4 × 10-8 ± 5.7 × 10-9 | –1 |
| clus12117 | 4.7 × 10-7 | 6.1 × 10-7 ± 5.0 × 10-7 | 28 | 5.4 × 10-7 ± 2.7 × 10-7 | 14 | 4.8 × 10-7 ± 7.9 × 10-8 | 2 | 4.7 × 10-7 ± 3.1 × 10-8 | –0.3 |
| clus20674 | 3.0 × 10-6 | 3.2 × 10-6 ± 1.4 × 10-6 | 8 | 3.2 × 10-6 ± 1.1 × 10-6 | 9 | 2.9 × 10-6 ± 2.6 × 10-7 | -0.4 | 3.0 × 10-6 ± 1.0 × 10-7 | –0.1 |
| clus19007 | 1.1 × 10-5 | 1.1 × 10-5 ± 1.9 × 10-6 | -4 | 1.1 × 10-5 ± 1.5 × 10-6 | 0.1 | 1.1 × 10-5 ± 3.9 × 10-7 | 0.4 | 1.1 × 10-5 ± 1.6 × 10-7 | 0.05 |
|
|
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| w | w ideal | 1000 cts | 2000 cts | 30 000 cts | 170 000 cts | ||||
| mean w | B w | mean w | B w | mean w | B w | mean w | B w | ||
|
|
|||||||||
| clus20165 | 0.0019 | 0.0029 ± 0.0012 | 55 | 0.0025 ± 0.0010 | 35 | 0.0020 ± 0.0003 | 6.2 | 0.0019 ± 0.0001 | –0.13 |
| clus008 | 0.0087 | 0.0090 ± 0.0030 | 4 | 0.0094 ± 0.0024 | 8 | 0.0088 ± 0.0007 | 1.4 | 0.0087 ± 0.0003 | 0.3 |
| clus12117 | 0.0156 | 0.0163 ± 0.0036 | 5 | 0.0153 ± 0.0025 | –2 | 0.0157 ± 0.0008 | 0.6 | 0.0156 ± 0.0003 | 0.3 |
| clus19007 | 0.0700 | 0.0662 ± 0.0061 | –5 | 0.0679 ± 0.0046 | –3 | 0.0662 ± 0.0061 | 0.1 | 0.0700 ± 0.0004 | –0.01 |
| clus20674 | 0.1193 | 0.1194 ± 0.0099 | 0.03 | 0.1193 ± 0.0076 | –0.05 | 0.1193 ± 0.0018 | –0.07 | 0.1193 ± 0.0008 | 0.005 |
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| P3/P0 | log (P3/P0ideal) | 1000 cts | 2000 cts | 30 000 cts | 170 000 cts | ||||
| log (mean P3/P0) | B P3 | log (mean P3/P0) | B P3 | log (mean P3/P0) | B P3 | log (mean P3/P0) | B P3 | ||
|
|
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| clus20165 | –8.40 | −7.66 ± 6.9 | 839 | −7.99 ± 8.5 | 376 | −8.42 ± 5.3 | 24 | −8.41 ± 2.8 | 3 |
| clus008 | –7.46 | −7.26 ± 6.8 | 152 | −7.32 ± 6.6 | 109 | −7.47 ± 2.7 | 5 | −7.47 ± 1.2 | –1 |
| clus12117 | –6.32 | −6.38 ± 5.2 | 28 | −6.34 ± 3.1 | 14 | −6.32 ± 1.0 | 2 | −6.33 ± 0.4 | –0.3 |
| clus20674 | –5.53 | −5.54 ± 2.5 | 8 | −5.52 ± 1.9 | 9 | −5.54 ± 0.5 | –0.4 | −5.53 ± 0.2 | –0.1 |
| clus19007 | –4.94 | −4.97 ± 0.9 | -4 | −4.95 ± 0.6 | 0. | −4.94 ± 0.17 | 0.4 | −4.94 ± 0.1 | 0.05 |
|
|
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| w | log (wideal) | 1000 cts | 2000 cts | 30 000 cts | 170 000 cts | ||||
| log (mean w) | B w | log (mean w) | B w | log (mean w) | B w | log (mean w) | B w | ||
|
|
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| clus20165 | –2.721 | –2.539 ± 1.012 | 55 | –2.598 ± 1.081 | 35 | –2.702 ± 0.463 | 6.2 | –2.729 ± 0.211 | –0.13 |
| clus008 | –2.061 | –2.045 ± 0.681 | 4 | –2.028 ± 0.520 | 8 | –2.054 ± 0.162 | 1.4 | –2.059 ± 0.067 | 0.3 |
| clus12117 | –1.807 | –1.787 ± 0.391 | 5 | –1.815 ± 0.297 | –2 | –1.805 ± 0.090 | 0.6 | –1.806 ± 0.038 | 0.3 |
| clus19007 | –1.155 | –1.179 ± 0.108 | –5 | –1.168 ± 0.079 | –3 | –1.179 ± 0.108 | 0.1 | –1.155 ± 0.006 | –0.01 |
| clus20674 | –0.923 | –0.923 ± 0.076 | 0.03 | –0.923 ± 0.059 | –0.05 | –0.924 ± 0.014 | –0.07 | –0.923 ± 0.006 | 0.005 |
Notes. We give the ideal substructure values and the mean for 100 realizations including their 1-σ uncertainties in real (top) and log space (bottom). The bias (BP3 and Bw) is listed in % of the ideal value, as defined in Eq. (8). The results are given for 4 different total count numbers. This table corresponds to Fig. 3, but with less realizations.
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