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For the variances we a assume inverse Gamma priors, with hyperparameters, chosen such that this prior is weakly informative.
For the variances τ j 2 we assume inverse Gamma priors IG(a j, b j ), with hyperparameters a j, b j chosen such that this prior is weakly informative.
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Although a number of weakly informative variance priors have been used throughout the MTC literature (e.g., gamma distribution or half-normal), the most commonly used variance priors are weakly informative uniform distributions between 0 and 2 or between 0 and 10 [ 13, 16].
We assessed two priors for variances (VA, VPE and VYEAR) for each analysis: (i) a parameter-expanded prior (Gelman 2006), which is weakly informative prior of the shape (V = 1, η = 1, α. μ = 0 and α. V = 100 000), and (ii) a slightly informative prior (V = Vp/r, η = 1), where Vp is the phenotypic variance and r the number of random factors.
The Gamma prior (labelled Γ) on σ−2 is weakly informative for small variance [ 54], depending on the value of ε, but its conjugacy with the multivariate normal seems to help in avoiding the problem of autocorrelation in successive samples from the Markov chain Monte Carlo.
Historical trials showed that PASI75 response and PGA response had similar time trend and magnitude and that prior distributions were weakly informative.
Facebook's assent is weakly typed because it's difficult to distinguish between levels of "friendship".
G is weakly connected.
T is weakly continuous.
Since is weakly closed,.
Hence, is weakly closed.
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