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Table 1.
Population model parameters and adopted priors.
| Parameter | Prior | Description |
|---|---|---|
| θc | Isotropic (†), 0.01 rad ≤ θc < θw ≤ π/2 rad | Core half-opening angle |
| θw | ‘break’ angle | |
 |
Uniform-in-log, 3 × 1051 erg s−1  erg s−1 |
Low-end cutoff luminosity for on-axis observers (θv = 0) |
| αL | Uniform, 0 ≤ αL ≤ 6 | Slope of ℓ at intermediate viewing angles θc < θv < θw |
| βL | Uniform, −3 ≤ βL ≤ 6 | Slope of ℓ at large viewing angles θv > θw |
 |
Uniform-in-log,  |
Low-end cutoff Ep for on-axis observers (θv = 0) |
| αEp | Uniform, 0 ≤ αEp ≤ 6 | Slope of η at intermediate viewing angles θc < θv < θw |
| βEp | Uniform, −3 ≤ βEp ≤ 10 | Slope of η at large viewing angles θv > θw |
| A | Uniform, 1.5 ≤ A ≤ 5 | Slope of Lc distribution |
| σc | Uniform-in-log, 0.3 ≤ σc ≤ 3 | Ep dispersion around  |
| y | Uniform, −3 ≤ y ≤ 3 | Lc − Ep, c ‘on-axis Yonetoku’ correlation slope |
| a | Uniform, −1 ≤ a ≤ 5 | Rate density evolution slope at low redshift,  |
| b | Uniform, 1 ≤ b ≤ 10 | Rate density decay slope at high redshift,  |
| zp | Uniform, 0.1 ≤ zp ≤ 3 | Redshift of rate density peak |
Notes. (†)Isotropic = uniform in the subtended solid angle, i.e. π(θ) = sin θ.
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