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Also we give a higher order approximation for the posterior expectation.
This paper describes a novel form of Bayesian Laplace approximation, which can be replace both the Bayesian updating and the inner Monte Carlo sampling to compute the posterior expectation of a function.
The adjusted ICER and the posterior expectation of the ICER were not applicable, because the denominator of the ICER (the effectiveness difference) was near zero, in which case the ICER was undefined [2].
There were significant correlations between average levels of individual costs and effectiveness over time (posterior expectation E [ ρ 1, 3 | data ] = 0. 32 and CrI (0.00,0.57)), and the individual slope of effectiveness ( E [ ρ 1, 2 | data ] = - 0. 17 CrI (-0.33, -0.00)), which cannot be explained by the background information included in the regression models.
Its posterior expectation was approximately <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0015555.e192.PNG" class= inline-graphic"/>.
Imputed genotypes were weighted by their posterior expectation in the regression models.
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bThe point estimates are posterior expectations E [ θ | d ] and also 95% credible intervals (CI) are presented.
Bayesian nonparametric inferential procedures based on Markov chain Monte Carlo marginal methods typically yield point estimates in the form of posterior expectations.
The posterior expectations of the task-specific variances ranged from 1.00 to 1.35, while the posterior expectations of the group factors' variances ranged from 0.012 to 0.045.
64.5% of the pairwise comparisons in the observed data that did not result in ties were correctly predicted by the posterior expectations of the θi.
In 10,000 replicates of this simulation, the proportion of replicates yielding a prediction rate exceeding that obtained in the actual data using the posterior expectations of the θi was only 0.0236.
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CEO of Professional Science Editing for Scientists @ prosciediting.com