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Table 1.

Prior (π) definitions for the hierarchical Bayesian model of the PL(Z) relations.

π(Mi | b,c,k,w,log Pi, [Fe/H]i = N(b + c · log Pi + k · [Fe/H]i, w
π(b) = Cauchy (0,10)
π(c) = π(k) = Cauchy (0,1)
π(w) = Exp (1)
π(ϕ) = Dirichlet (1,1)
π(ϖ0) = N (0,0.1)

Notes. We use the π symbol to refer to the prior probability.

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