Model selection for the GRB sample. |$\mathcal {Z}$| represents the Bayesian evidence. Reported uncertainties represent 1–σ. We select the mode, either homogeneous (ISM) or wind-like environment, with higher inferred evidence values. The evidence values for the preferred model are written in bold numerals.
| . | Burst name . | |$\ln \mathcal {Z}$| [ISM] . | |$\ln \mathcal {Z}$| [Wind] . | Bayes factor . |
|---|---|---|---|---|
| short GRBs | 051221A | |$\mathbf {-22.79 \pm 0.04}$| | −24.26 ± 0.12 | 4.33 |
| 130603B(a) | −21.45 ± 0.05 | −21.42 ± 0.03 | ∼1. | |
| 140903A | |$\mathbf {-24.97 \pm 0.05}$| | −25.73 ± 0.02 | 2.15 | |
| 200522A | |$\mathbf {-18.31 \pm 0.03}$| | −19.30 ± 0.02 | 2.68 | |
| long GRBs | 970508 | −99.21 ± 0.12 | |$\mathbf {-92.68 \pm 0.31}$| | >150 |
| 980703 | −86.74 ± 0.02 | |$\mathbf {-82.33 \pm 0.06}$| | 82.80 | |
| 990510 | |$\mathbf {279.21 \pm 0.02}$| | 278.45 ± 0.03 | 2.15 | |
| 991208 | |$\mathbf {-60.33 \pm 0.04}$| | −67.63 ± 0.10 | >150 | |
| 991216 | −5.37 ± 0.04 | |$\mathbf {-4.56 \pm 0.03}$| | 2.25 | |
| 000301C | |$\mathbf {37.45 \pm 0.05}$| | 25.30 ± 0.12 | >150 | |
| 000418 | −55.09 ± 0.04 | |$\mathbf {-49.81 \pm 0.05}$| | >150 | |
| 000926 | 28.31 ± 0.08 | |$\mathbf {34.48 \pm 0.04}$| | >150 | |
| 010222 | |$\mathbf {37.34 \pm 0.04}$| | 31.01 ± 0.02 | >150 | |
| 030329 | |$\mathbf {-29.23 \pm 0.01}$| | −59.81 ± 0.05 | >150 | |
| 050820A | −40.26 ± 0.74 | |$\mathbf {-33.88 \pm 0.05}$| | >150 | |
| 050904 | |$\mathbf {-31.20 \pm 0.03}$| | −33.30 ± 0.07 | 8.13 | |
| 060418 | |$\mathbf {-11.55 \pm 0.06}$| | −19.19 ± 0.02 | >150 | |
| 090328 | |$\mathbf {-50.14 \pm 0.03}$| | −51.69 ± 0.30 | 4.71 | |
| 090423 | |$\mathbf {-51.42 \pm 0.06}$| | −55.97 ± 0.10 | 94.59 | |
| 090902B | −49.39 ± 0.02 | |$\mathbf {-39.78 \pm 0.04}$| | >150 | |
| 090926A | |$\mathbf {-9.68 \pm 0.03}$| | −12.24 ± 0.02 | 12.98 | |
| 120521C | |$\mathbf {-54.96 \pm 0.06}$| | −55.50 ± 0.09 | 1.70 | |
| 130427A | 324.52 ± 0.08 | |$\mathbf {336.86 \pm 0.03}$| | >150 | |
| 130702A | |$\mathbf {19.45 \pm 0.18}$| | 8.55 ± 0.68 | >150 | |
| 130907A | |$\mathbf {-135.85 \pm 0.01}$| | −141.59 ± 0.02 | >150 | |
| 140304A | −60.46 ± 0.04 | |$\mathbf {-57.90 \pm 0.04}$| | 13.00 |
| . | Burst name . | |$\ln \mathcal {Z}$| [ISM] . | |$\ln \mathcal {Z}$| [Wind] . | Bayes factor . |
|---|---|---|---|---|
| short GRBs | 051221A | |$\mathbf {-22.79 \pm 0.04}$| | −24.26 ± 0.12 | 4.33 |
| 130603B(a) | −21.45 ± 0.05 | −21.42 ± 0.03 | ∼1. | |
| 140903A | |$\mathbf {-24.97 \pm 0.05}$| | −25.73 ± 0.02 | 2.15 | |
| 200522A | |$\mathbf {-18.31 \pm 0.03}$| | −19.30 ± 0.02 | 2.68 | |
| long GRBs | 970508 | −99.21 ± 0.12 | |$\mathbf {-92.68 \pm 0.31}$| | >150 |
| 980703 | −86.74 ± 0.02 | |$\mathbf {-82.33 \pm 0.06}$| | 82.80 | |
| 990510 | |$\mathbf {279.21 \pm 0.02}$| | 278.45 ± 0.03 | 2.15 | |
| 991208 | |$\mathbf {-60.33 \pm 0.04}$| | −67.63 ± 0.10 | >150 | |
| 991216 | −5.37 ± 0.04 | |$\mathbf {-4.56 \pm 0.03}$| | 2.25 | |
| 000301C | |$\mathbf {37.45 \pm 0.05}$| | 25.30 ± 0.12 | >150 | |
| 000418 | −55.09 ± 0.04 | |$\mathbf {-49.81 \pm 0.05}$| | >150 | |
| 000926 | 28.31 ± 0.08 | |$\mathbf {34.48 \pm 0.04}$| | >150 | |
| 010222 | |$\mathbf {37.34 \pm 0.04}$| | 31.01 ± 0.02 | >150 | |
| 030329 | |$\mathbf {-29.23 \pm 0.01}$| | −59.81 ± 0.05 | >150 | |
| 050820A | −40.26 ± 0.74 | |$\mathbf {-33.88 \pm 0.05}$| | >150 | |
| 050904 | |$\mathbf {-31.20 \pm 0.03}$| | −33.30 ± 0.07 | 8.13 | |
| 060418 | |$\mathbf {-11.55 \pm 0.06}$| | −19.19 ± 0.02 | >150 | |
| 090328 | |$\mathbf {-50.14 \pm 0.03}$| | −51.69 ± 0.30 | 4.71 | |
| 090423 | |$\mathbf {-51.42 \pm 0.06}$| | −55.97 ± 0.10 | 94.59 | |
| 090902B | −49.39 ± 0.02 | |$\mathbf {-39.78 \pm 0.04}$| | >150 | |
| 090926A | |$\mathbf {-9.68 \pm 0.03}$| | −12.24 ± 0.02 | 12.98 | |
| 120521C | |$\mathbf {-54.96 \pm 0.06}$| | −55.50 ± 0.09 | 1.70 | |
| 130427A | 324.52 ± 0.08 | |$\mathbf {336.86 \pm 0.03}$| | >150 | |
| 130702A | |$\mathbf {19.45 \pm 0.18}$| | 8.55 ± 0.68 | >150 | |
| 130907A | |$\mathbf {-135.85 \pm 0.01}$| | −141.59 ± 0.02 | >150 | |
| 140304A | −60.46 ± 0.04 | |$\mathbf {-57.90 \pm 0.04}$| | 13.00 |
aFor this data set, both homogeneous and wind-like models result in similar evidence values. An ISM-type environment is preferred since this is a short GRB and no strong winds are expected due their progenitors.
Model selection for the GRB sample. |$\mathcal {Z}$| represents the Bayesian evidence. Reported uncertainties represent 1–σ. We select the mode, either homogeneous (ISM) or wind-like environment, with higher inferred evidence values. The evidence values for the preferred model are written in bold numerals.
| . | Burst name . | |$\ln \mathcal {Z}$| [ISM] . | |$\ln \mathcal {Z}$| [Wind] . | Bayes factor . |
|---|---|---|---|---|
| short GRBs | 051221A | |$\mathbf {-22.79 \pm 0.04}$| | −24.26 ± 0.12 | 4.33 |
| 130603B(a) | −21.45 ± 0.05 | −21.42 ± 0.03 | ∼1. | |
| 140903A | |$\mathbf {-24.97 \pm 0.05}$| | −25.73 ± 0.02 | 2.15 | |
| 200522A | |$\mathbf {-18.31 \pm 0.03}$| | −19.30 ± 0.02 | 2.68 | |
| long GRBs | 970508 | −99.21 ± 0.12 | |$\mathbf {-92.68 \pm 0.31}$| | >150 |
| 980703 | −86.74 ± 0.02 | |$\mathbf {-82.33 \pm 0.06}$| | 82.80 | |
| 990510 | |$\mathbf {279.21 \pm 0.02}$| | 278.45 ± 0.03 | 2.15 | |
| 991208 | |$\mathbf {-60.33 \pm 0.04}$| | −67.63 ± 0.10 | >150 | |
| 991216 | −5.37 ± 0.04 | |$\mathbf {-4.56 \pm 0.03}$| | 2.25 | |
| 000301C | |$\mathbf {37.45 \pm 0.05}$| | 25.30 ± 0.12 | >150 | |
| 000418 | −55.09 ± 0.04 | |$\mathbf {-49.81 \pm 0.05}$| | >150 | |
| 000926 | 28.31 ± 0.08 | |$\mathbf {34.48 \pm 0.04}$| | >150 | |
| 010222 | |$\mathbf {37.34 \pm 0.04}$| | 31.01 ± 0.02 | >150 | |
| 030329 | |$\mathbf {-29.23 \pm 0.01}$| | −59.81 ± 0.05 | >150 | |
| 050820A | −40.26 ± 0.74 | |$\mathbf {-33.88 \pm 0.05}$| | >150 | |
| 050904 | |$\mathbf {-31.20 \pm 0.03}$| | −33.30 ± 0.07 | 8.13 | |
| 060418 | |$\mathbf {-11.55 \pm 0.06}$| | −19.19 ± 0.02 | >150 | |
| 090328 | |$\mathbf {-50.14 \pm 0.03}$| | −51.69 ± 0.30 | 4.71 | |
| 090423 | |$\mathbf {-51.42 \pm 0.06}$| | −55.97 ± 0.10 | 94.59 | |
| 090902B | −49.39 ± 0.02 | |$\mathbf {-39.78 \pm 0.04}$| | >150 | |
| 090926A | |$\mathbf {-9.68 \pm 0.03}$| | −12.24 ± 0.02 | 12.98 | |
| 120521C | |$\mathbf {-54.96 \pm 0.06}$| | −55.50 ± 0.09 | 1.70 | |
| 130427A | 324.52 ± 0.08 | |$\mathbf {336.86 \pm 0.03}$| | >150 | |
| 130702A | |$\mathbf {19.45 \pm 0.18}$| | 8.55 ± 0.68 | >150 | |
| 130907A | |$\mathbf {-135.85 \pm 0.01}$| | −141.59 ± 0.02 | >150 | |
| 140304A | −60.46 ± 0.04 | |$\mathbf {-57.90 \pm 0.04}$| | 13.00 |
| . | Burst name . | |$\ln \mathcal {Z}$| [ISM] . | |$\ln \mathcal {Z}$| [Wind] . | Bayes factor . |
|---|---|---|---|---|
| short GRBs | 051221A | |$\mathbf {-22.79 \pm 0.04}$| | −24.26 ± 0.12 | 4.33 |
| 130603B(a) | −21.45 ± 0.05 | −21.42 ± 0.03 | ∼1. | |
| 140903A | |$\mathbf {-24.97 \pm 0.05}$| | −25.73 ± 0.02 | 2.15 | |
| 200522A | |$\mathbf {-18.31 \pm 0.03}$| | −19.30 ± 0.02 | 2.68 | |
| long GRBs | 970508 | −99.21 ± 0.12 | |$\mathbf {-92.68 \pm 0.31}$| | >150 |
| 980703 | −86.74 ± 0.02 | |$\mathbf {-82.33 \pm 0.06}$| | 82.80 | |
| 990510 | |$\mathbf {279.21 \pm 0.02}$| | 278.45 ± 0.03 | 2.15 | |
| 991208 | |$\mathbf {-60.33 \pm 0.04}$| | −67.63 ± 0.10 | >150 | |
| 991216 | −5.37 ± 0.04 | |$\mathbf {-4.56 \pm 0.03}$| | 2.25 | |
| 000301C | |$\mathbf {37.45 \pm 0.05}$| | 25.30 ± 0.12 | >150 | |
| 000418 | −55.09 ± 0.04 | |$\mathbf {-49.81 \pm 0.05}$| | >150 | |
| 000926 | 28.31 ± 0.08 | |$\mathbf {34.48 \pm 0.04}$| | >150 | |
| 010222 | |$\mathbf {37.34 \pm 0.04}$| | 31.01 ± 0.02 | >150 | |
| 030329 | |$\mathbf {-29.23 \pm 0.01}$| | −59.81 ± 0.05 | >150 | |
| 050820A | −40.26 ± 0.74 | |$\mathbf {-33.88 \pm 0.05}$| | >150 | |
| 050904 | |$\mathbf {-31.20 \pm 0.03}$| | −33.30 ± 0.07 | 8.13 | |
| 060418 | |$\mathbf {-11.55 \pm 0.06}$| | −19.19 ± 0.02 | >150 | |
| 090328 | |$\mathbf {-50.14 \pm 0.03}$| | −51.69 ± 0.30 | 4.71 | |
| 090423 | |$\mathbf {-51.42 \pm 0.06}$| | −55.97 ± 0.10 | 94.59 | |
| 090902B | −49.39 ± 0.02 | |$\mathbf {-39.78 \pm 0.04}$| | >150 | |
| 090926A | |$\mathbf {-9.68 \pm 0.03}$| | −12.24 ± 0.02 | 12.98 | |
| 120521C | |$\mathbf {-54.96 \pm 0.06}$| | −55.50 ± 0.09 | 1.70 | |
| 130427A | 324.52 ± 0.08 | |$\mathbf {336.86 \pm 0.03}$| | >150 | |
| 130702A | |$\mathbf {19.45 \pm 0.18}$| | 8.55 ± 0.68 | >150 | |
| 130907A | |$\mathbf {-135.85 \pm 0.01}$| | −141.59 ± 0.02 | >150 | |
| 140304A | −60.46 ± 0.04 | |$\mathbf {-57.90 \pm 0.04}$| | 13.00 |
aFor this data set, both homogeneous and wind-like models result in similar evidence values. An ISM-type environment is preferred since this is a short GRB and no strong winds are expected due their progenitors.
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