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Table 3

Inference on the free parameters of the models for the cuspy mock.

Component Parameter Prior Median 1σ 3σ Actual
MP log JMP [0.3, 2.5] 0.92 [0.69, 1.09] [0.44, 1.25] 0.8
hz, MP [0, 1.5] 0.27 [0.15, 0.46] [0.05, 0.99] 0.05
gz,MP [0, 1.5] 1.05 [0.93, 1.16] [0.55, 1.33] 1.2
ΓMP [0, 3] 1.15 [0.93, 1.31] [0.65, 1.58] 1
BMP [3, 25] 17.0 [11.9, 22.3] [7.5, 24.9] 14
MMP(dex)$\mathcal{M}_{\text {MP}}(\mathrm{dex})$ [−2.1, −1.7] −2.00 [−2.02, −1.99] [−2.04, −1.97] −2
σM, MP(dex) [0.15, 0.45] 0.300 [−0.29, −0.31] [0.27, 0.33] 0.3
fMP [0.5, 0.75] 0.58 [0.56, 0.60] [0.54, 0.64] 0.6
MR log JMR [0.3, 2.5] 1.47 [1.29, 1.61] [1.04, 1.81] 1.5
hz, MR [0, 1.5] 0.47 [0.15, 1.04] [0.01, 1.48] 0.6
gz, MR [0, 1.5] 0.47 [0.40, 0.54] [0.32, 0.78] 0.4
ΓMR [0, 3] 0.33 [0.13, 0.61] [0.01, 0.97] 0.4
BMR [3, 25] 17.4 [13.5, 22.1] [10.0, 24.9] 20
MMR$\mathcal{M}_{\text {MR}}$ (dex) [−1.65, −1.3] −1.43 [−1.44, −1.41] [−1.47, −1.39] −1.4
σM, MR(dex) [0.15, 0.45] 0.30 [0.29, 0.31] [0.27, 0.33] 0.3
fMR [0.25, 0.5] 0.42 [0.40, 0.44] [0.36, 0.46] 0.4
DM log MDM(M⊙) [7, 11] 8.6 [8.4, 8.8] [8.1, 9.1] 8.5
log rs(kpc) [−3, 1] −0.53 [−0.75, −0.26] [−1.43, 0.03] −0.5
α [0, 7] 1.8 [0.8, 4.2] [0.4, 6.9] 1
η [2, 7] 2.65 [2.38, 3.39] [2.07, 4.79] 3
γ [0, 1.9] 1.18 [0.67, 1.40] [0.02, 1.57] 1
DM 1-pop log MDM(M⊙) [7, 11] 9.03 [8.95, 9.09] [8.70, 9.15] 8.5
log rs(kpc) [−3, 1] −1.23 [−1.33, −1.13] [−1.54, −0.93] −0.5
α [0, 7] 3.4 [2.0, 5.5] [1.1, 7.0] 1
η [2, 7] 2.06 [2.01, 2.14] [2.00, 2.40] 3
γ [0, 1.9] 0.37 [0.11, 0.70] [0.00, 1.04] 1

Notes. The table is divided into four parts. The first three show the parameters of the MP and MR stellar populations and the DM component of the two-population analysis. The last part shows the parameters for the DM component of the single population analysis. Column 1 indicates the components the parameters are referred to; Col. 2 lists the parameters; Col. 3 shows the range of uniform priors we used in the EMCEE runs; Cols. 4, 5, and 6 list the median values, 1σ and 3σ confidence intervals; and finally Col.7 shows the actual value used to produce the mock dataset. Details on the MCMC procedure and on how the 1σ and 3σ confidence intervals are computed are given in Appendix A.

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