Table 2.
Fitted values of the parameters of the multi-loghat, multi-loghat + Poissonian, multi-pow, and multi-pow + Poissonian distributions for the temporal distribution of flares.
| multi-loghat (all sources) | |||||
|---|---|---|---|---|---|
| C | rburst | mlog(τ) | σlog(τ) | ||
| (y−1) | |||||
| −2746.1 | 1.3 ± 0.4 (stat) | −0.21 (stat) |
0.36 ± 0.14 (stat) | ||
| multi-pow (all sources) | |||||
| C | rburst | η | τburst | ||
| (y−1) | (y−1) | ||||
| −2766.0 | 1.5 ± 0.3 (stat) | 3.0 (sys) (stat) |
0.67 (sys) (stat) |
||
| multi-loghat + Poissonian (all sources) | |||||
| C | rburst | mlog(τ) | σlog(τ) | Rfast observed | τfast |
| (y−1) | (%) | (h) | |||
| −2776.0 | 1.3 ± 0.3 (stat) | −0.20 (stat) |
0.35 ± 0.13 (stat) | 2.9 (stat) |
 (sys) (stat) |
| multi-pow + Poissonian (all sources) | |||||
| C | rburst | η | τburst | Rfast observed | τfast |
| (y−1) | (y−1) | (%) | (h) | ||
| −2777.5 | 1.4 ± 0.3 (stat) | 2.1 (sys) ± 0.5 (stat) |
0.65 (sys) (stat) |
2.5 (sys) (stat) |
 (sys) (stat) |
| multi-loghat (CTA 102 excluded) | |||||
| C | rburst | mlog(τ) | σlog(τ) | ||
| (y−1) | |||||
| −2642.1 | 1.3 ± 0.4 (stat) | −0.21 (stat) |
0.36 ± 0.14 (stat) | ||
| multi-pow (CTA 102 excluded) | |||||
| C | rburst | η | τburst | ||
| (y−1) | (y−1) | ||||
| −2643.8 | 1.4 ± 0.3 (stat) | 1.9 (sys) (stat) |
0.64 (sys) (stat) |
||
Notes. Reported statistical errors with 90% confidence level, systematic errors are reported when they are comparable to statistical errors. C is the value of the Cash estimator at minimum. For the multi-loghat model: rburst is the burst rate in y−1, mlog(τ) and σlog(τ) are the mean and standard deviation of the Gaussian distribution for log(τburst), with τburst in y. For multi-loghat + Poissonian: The additional parameters are the fraction of events due to the fast component (Rfast observed), and the typical timescale τfast of the fast component in hours, modelled with a Poissonian process. For the multi-pow model: rburst is the burst rate in y−1, τburst is the burst duration in y, η coefficient is described in Appendix A. For multi-pow + Poissonian: the additional parameters are the fraction of events due to the fast component (Rfast observed), and the typical timescale τfast of the fast component in hours, modelled with a Poissonian process.
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