Table 1.
Unweighted and weighted TS values of the observed blazar-neutrino associations as well as the respective weighted p-values in the upgraded spatio-temporal method.
| Error | Band |
 |
AI | AI1% | AI0.01% |
|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) |
| Published | R | 0.58 → 0.05 (p = 0.5719) | 0.99 → 0.10 (p = 0.2252) | 54 → 4.91 (p = 0.7739) | 22 → 2.53 (p = 0.2963) |
| O | 0.63 → 0.05 (p = 0.3462) | 0.96 → 0.10 (p = 0.4368) | 22 → 2.47 (p = 0.4687) | 11 → 1.38 (p = 0.4446) | |
| R+O | 1.07 → 0.09 (p = 0.4491) | 1.00 → 0.11 (p = 0.3372) | 7 → 0.419 (p = 0.7580) | 1 → 0.023 (p = 0.7588) | |
| Enlarged | R | 0.58 → 0.09 (p = 0.5445) | 0.99 → 0.16 (p = 0.1652) | 66 → 11.7 (p = 0.3149) | 29 → 7.10 (p = 0.0107) |
| O | 0.59 → 0.08 (p = 0.3595) | 0.99 → 0.18 (p = 0.1477) | 31 → 7.01 (p = 0.0352) | 15 → 4.34 (p = 0.0377) | |
| R+O | 1.03 → 0.14 (p = 0.4326) | 1.01 → 0.18 (p = 0.1186) | 11 → 3.14 (p = 0.0256) | 4 → 2.270 (p = 0.0014) | |
Notes. Column (1) gives the error region scenario (see Sect. 3.3). Column (2) gives the blazar selection (R: radio-only, O: optical-only, R+O: simultaneous radio+optical). Columns (3) to (6) give the corresponding TS values (unweighted → weighted) as well as the weighted p-value for the TS parameters 
, AI, AI1%, and AI0.01%, respectively. The p-values shown in bold individually reach a significance level of > 2σ. For a discussion on the trial correction of these individual p-values see Sect. 4.2.4.
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