Sentence examples for posterior can from inspiring English sources

We show, by analysis and example, that when the data contain significant information beyond what is assumed in the prior, the surrogate posterior can be very different from the posterior, and the resulting estimates become inaccurate.

Consequently, in each iteration a calculated posterior can be used as an informative prior for the next iteration, creating a relatively simple iterative procedure.

If we hypothesize that the posterior can be expressed as a set of samples p ( x t - 1 ∣ Z t - 1 ) ≈ 1 N s ∑ i = 1 N s δ ( x t - 1 - x t - 1 ( i ) ), (5).

When closeness is defined in terms of relative entropy, the resulting "coarsened" posterior can be approximated by simply tempering the likelihood that is, by raising the likelihood to a fractional power thus, inference can usually be implemented via standard algorithms, and one can even obtain analytical solutions when using conjugate priors.

The slow movement through the posterior can be remedied by using a large number of iterations.

The median posterior CAN prevalence in the total sample was estimated at 14.92%.

As expected, a combination of broad-class posteriors with phone posteriors can be effective for enhancing both the correctness and accuracy rates in phone recognition.

When the likelihoods are fully objective, any subjectivity that affects the ratio of posteriors can only arise via subjectivity in the ratio of the priors.

Supposing that both of the multimodal priors and posteriors can be approximated by Gaussian mixture models, Dovera and Rossa (2011) presented a modified EnKF method especially for multimodal systems.

These up-posteriors can be thought of as a way to temporarily reroot the tree at the current location.

(8) (9) (10) This relation between the two posteriors can be exploited in order to compute expected values by re-weighting samples from the old posterior appropriately.