Informed total-error-minimizing priors: Interpretable cosmological parameter constraints despite complex nuisance effects

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Table 3.

Ranges of the original and ITEM priors for the r model with a maximum bias of 0.5σ_2D and a minimum coverage of 56% for both Ω_m and S₈.

Parameter	Prior	Prior width	Bias [σ_2D]	Ω_m coverage	S₈ coverage	${\bar{σ}}_{Ω_{m}}$ $\overline{\sigma}_{\Omega_m}$	${\bar{σ}}_{S_{8}}$ $\overline{\sigma}_{S_8}$	$\tilde{V} / {\tilde{V}}_{Original}$ $\tilde{V}/\tilde{V}_{\mathrm{Original}}$
Original prior
r	𝒰[0.00, 1.00]	1.00	0.44/0.08	84%/76%	56%/56%	0.039	0.059	1.00

ITEM prior
r	𝒰[0.68, 1.00]	0.32	0.50/0.09	84%/76%	56%/56%	0.037	0.053	0.91

Notes. As in Table 2, the bias and coverage quantities from both nuisance realizations are separated with a backslash.

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