The phrase "a corresponding posterior" is correct and usable in written English.
It can be used in contexts related to statistics, research, or any field discussing posterior distributions or results that correspond to a given set of data or conditions.
Example: "In Bayesian analysis, we often calculate a corresponding posterior based on the prior distribution and the likelihood of the observed data."
Alternatives: "an associated posterior" or "a related posterior".
Using a data-based likelihood function, our package calculates the evidence of a model and the corresponding posterior parameter distribution.
We similarly have the likelihood that S expresses the phenotype, assuming that lesion M is a driver, and the corresponding posterior as L S | M deff ¯ ¯ P m S · δ M ∈ S and P M | S = δ M ∈ S · P d M ∑ i P d M i, where P d (M) is the prior that M is a driver lesion and δ(M ∈ S) is 1 if the set S includes the lesion M and 0 otherwise.
We compare the accuracy of a network reconstruction based on prior knowledge alone with the accuracy of a reconstruction based on the corresponding posterior probabilities calculated by MCMC simulations.
By opting for the "weighted logistic regression" option found in most statistical packages, we allow the observations contributed by any particular row of the reconstruction table to enter the regression with a relative importance fixed by the corresponding posterior weight.
The use of the weighting option in packages such as STATA and R allows each configuration of the pseudocase/pseudocontrol genotype for each nucleus to enter in the logistic regression with a relative importance fixed by the corresponding posterior weight.
We regarded an individual as purebred when the posterior probability to be purebred from the species corresponding to its mitochondrial haplotype was > 0.5, as a hybrid when it was ≤0.5 and as a specific category of hybrid when the corresponding posterior probability was > 0.5.
Then, we assigned each clone to one of two modified copy-number allocation states (loss or gain copy state) if its corresponding posterior probability was above a defined threshold value, otherwise the clone was assigned to the modal/unaltered copy state.
If such an uncertain description of the STFT is used, the corresponding posterior distribution has to be propagated into the feature domain.
These regulators and their corresponding posterior probabilities of activity are used in a regularized regression framework to predict response.
Figure 2 shows an example of the distribution of partial correlations and their corresponding posterior probabilities.
Then, we compute the optimal error probability in the discrimination of ([-alpha_{0}]) and the posterior state, which is a combination of ([1/sqrt{n}]) and ([-1/sqrt{n}]), weighted by the corresponding posterior probabilities.
