Hierarchical Bayesian model for reconstruction II. We decompose the Faraday depth ϕ into the fields χ and ρ, which are supposed to capture the sign and the overall amplitude of the signal, respectively (see Eq. (8)). The Faraday depth field ϕ together with the measurement noise nϕ determine the observed data dϕ via Eq. (4). The noise nϕ of every measurement i is assumed to be drawn from a Gaussian with variance , where σi is the reported uncertainty and ηi an unknownuncertainty correction factor.
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