Sentence examples for scale and degree from inspiring English sources

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.

With Paddock perched on the 32nd floor of the Mandalay Bay Resort and Casino and firing military-style rifles onto the crowd of concertgoers below, the scale and degree of physical damage were extreme.

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.

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 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 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 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.