Reconstructed 1D marginalized posterior distributions for the dimensionless cosmic-string tension parameter G μ in the four stable-string models without SMBHBs (STABLE-C, STABLE-K, STABLE-M, and STABLE-N) in the left panel and including SMBHBs (STABLE-C+SMBHB, STABLE-K+SMBHB, STABLE-M+SMBHB, and STABLE-N+SMBHB) in the right panel. The dashed vertical lines show the 68% Bayesian credible intervals, which we construct as described in the text, and the solid vertical lines mark the G μ values where the K ratio in Equation (10) reaches a value of 1/10. Figure 28 in Appendix C.4 shows an extended version of this plot that includes the SMBHB parameters A BHB and γ BHB.