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Table 1.
Prior distributions for the parameters in the model.
| Parameters | Prior distribution |
|---|---|
| P0 | 𝒰(0, 60) |
| c500 | 𝒰(0, 10) |
| α | 𝒰(0, 10) |
| β | 𝒰(0, 20) |
| γ | 𝒰(0, 10) |
| δ | 𝒩(2/3, 0.22) |
| ηT | 𝒰(0, 4) |
| Lint | 𝒰(0, 2.5) |
| σ0 | 𝒰(0, 3) |
| σ1 | 𝒰(0, 10) |
| ω | 𝒰(−2, 10) |
| M500, i | 𝒩(M500, i,σM500, i2)H(0) |
Notes. For each cluster i, we assume a normal distribution for the mass based on M500, i values from catalogues (Sect. 2.2). All masses are truncated at M500, i = 0, as indicated by the Heaviside function H(0).
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