Sentence examples for updated posterior from inspiring English sources

Once all of the input data are provided, the updated posterior resource model will be obtained.

The updated posterior distribution (calculated based on the additional measurements) yields significantly improved estimates for the source location and strength.

Finally, a Bayesian updating methodology is proposed to update the prior belief of the uncertainties and the updated posterior distributions are used for probabilistic prediction using field inspection results.

where π denotes the Lebesgue density function for the prior distribution over S. The density function for the updated posterior distribution over S is ν ( p | s ) = g ( s | p ) π ( p ) / ν ( s ).

So in order to overcome this problem, multinomial distribution function and its conjugate Dirichlet distribution function has been used as likelihood and prior, respectively, in Bayes theorem to obtain an updated posterior function of the same form as Dirichlet distribution function thus improving the working and monitoring capability of Probabilistic Safety Assessment PSAA).

The updated posterior mixture takes the form that: p X k | Y 1 : k = ∑ j = 1 M P i j, k p j X k | Y 1 : k = λ k ∑ j = 1 M P i j, k p j Y k | X k ∫ p j X k | X k - 1 p j X k - 1 | Y 1 : k - 1 d X k - 1 (15).

A methodology for updating posterior probabilities is proposed for cases where fault conditions are rejected or retained on the basis of deterministic, collateral knowledge supplied by an end-user - the posterior knowledge.

Define (9) We can get the updated variational posterior distributions of π, μ k and Λ k as (10) (11) where (12) (13) (14) (15) (16) After convergence, only components that take responsibility for explaining the data points 'survive', and those with low responsibility values (∑ n =1 N i n r nk ) are removed.

Using the measured-to-predicted load distributions and the updated (or posterior) measured-to-predicted bearing capacity distributions, resistance factors were calibrated (or updated) from the first-order reliability method (FORM) for two different target reliability indices, 2.33 and 3.0.

This means that parameters are given prior distributions that are then updated to posterior distributions.

It is sometimes claimed that Bayesian convergence results only work when an agent locks in values for the prior probabilities of hypotheses once and for all, and updates posterior probabilities from there only by conditioning on evidence via Bayes Theorem.