Sentence examples for using the posterior distribution from inspiring English sources

In regions previously significantly associated with only GD, posterior predictive P values are unlikely to detect any departure from colocalisation for reasons described above, but here the Bayesian approach does allow us to use make some inference using the posterior distribution of η.

Bayesian credible sets are constructed using the posterior distribution, which are then studied using frequentist methods.

The next step is to estimate the source position using the posterior distribution.

It calculates the prior distribution of the present image using the posterior distribution of the previous adjacent image as well as the prior distribution of image variations.

As a solution for the evaluation function in Eq. 4, we present a posterior mean (PM) solution defined by the mean value of a number of candidate sets, which are sampled using the posterior distribution.

For each time instance, the measurement design method is first performed to select a subset of k vectors from the projection matrix (varPhi ) using the posterior distribution of the previous adjacent image xt−1, where the selected vectors are used to form the measurement matrix (varPhi _t).

At each node, it considers a three-node star topology on the node's children and parent, using the posterior distributions for the two children and the up-posterior for itself.

Using the posterior distributions, we can evaluate the FDR for specific number of DE genes.

We also evaluated the results by comparison of model predictions for blood concentrations using the posterior distributions for exposure.

In addition to the estimation of the demographic parameters, we also simulated the population growth using the posterior distributions of the parameters (Table 1).

In this analysis, we used the posterior distribution of trees to examine the proportion of the current CRF02_AG or A3 strains (i.e. the strains existing in Guinea-Bissau in 2008) that were present already in the examined years (1980 , 1985 1990 , 1995.