Exact(5)
In addition, infrastructure projects are at the convergence of several scales of representation (territory to local scale) and degrees of accuracy as stated in Borrmann et al. (2012).
The pseudo-code and a summary of posterior results for scale and degrees of freedom for this step are provided as additional data [see Additional file 1].
The residuals are typically assumed iid normal with null mean and variance, with a scaled inverted chi-square prior for, with scale and degrees of freedom ν e.
The α j are a priori assumed independently distributed as: 2 where are a priori assumed identically and independently distributed (iid) scaled inverted chi-square variables with scale and degrees of freedom ν α.
Neal (1996) used a conjugate inverse Gamma distribution as a prior for the variance associated with the residual, ε i, given in Equation 4, that is, σ e 2 ∼ Inv-Gamma (s e, d f e ), where s e and d f e are the scale and degrees of freedom parameters, respectively.
Similar(55)
For j in {1, … , p} update the variance of marker effects with a draw from a scaled-inverse chi-square density with scale and degree of freedom parameters β j 2 + d. f. β × S β and 1 + d. f. β, respectively, where S β and d. f. β are the prior scale and prior degree of freedom assigned to the variances of marker effects.
For BRR, σ β j 2 = σ β 2 is the same for all markers; therefore: (a) in step 2 (see above), the term σ 2 σ β j − 2 = σ 2 σ β − 2 is also the same for all markers and (b) in step 3 only one variance parameter is updated, in this case from a scaled-inverse chi-square density with scale and degree of freedom parameters ∑ j = 1 p β j 2 + d. f. β × S β and p + d. f. β, respectively.
Yilmaz and other police officers who spoke up confirmed the scale and degree of penetration by adherents of a movement that is religious, cultural and educational as well as political.
Second, models differ as a result of the objectives of model development, and hence required scale and degree of detail and comprehensiveness.
During the post-war period, Swedish agricultural policies strongly favoured rationalisation through stimulating a reduction in the total number of farms and an increase in the scale and degree of individual farm specialisation.
Soil samples to a depth of 20 cm were taken every 2 m in 24 × 20 m grids and every 0.5 m in four nested 3 m × 3 m grids containing at least one shrub or tree canopy, and geostatistical techniques were then used to quantify scale and degree of soil C spatial dependence.
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