H₀ and Ω_m constraints from our models in a flat $\mathrm{\Lambda }\mathrm{CDM}$ cosmology for the ideal (left) and kinematic data with a bias of 5% (right). The shaded contours represent 1σ, 2σ, and 3σ confidence regions. The blue (orange) contours represent the constraints based on P(D_d) (P(D_Δt, int)), marginalized over all other parameters in the joint modeling. The green contours represent the constraints based on P(D_d, D_Δt, int). The gray dashed lines represent the mock input values in the data sets. The kinematic data, with a 5% systematic bias, affects only D_d, such that the inferred H₀ median value based on P(D_d) is biased by 13% relative to the mock input value of H₀ (see right panel).