Sentence examples for prior the likelihood from inspiring English sources

There are three main elements to the process of Bayesian estimation; the prior, the likelihood and the posterior.

Based on prior research, it is known that subjects react to changes in the statistics of both the prior and the likelihood.

Well I mean this is the difference between the prior and the likelihood in the posterior.

Then, the prior and the likelihood are combined to improve retrieval performance.

The inverse-Wishart distribution is the conjugate prior for the likelihood (4) of our model.

Accordingly, a Gaussian assumption for both the prior and the likelihood results in the Kalman filter Eqs.

If we assume that each class has the same prior probability, the likelihood of a class is.

The eigenvalues of adjacent 2k 1 bands are averaged prior to the likelihood calculation to reduce random fluctuation.

Since GPR is a form of Bayesian regression, the marginal likelihood is equal to the integral over the product of the prior and the likelihood function.

Please note that both the prior and the likelihood are a function of the integration variable S, namely f(S) (cf. upper signal path in Figure 2) and g(S) (cf. lower signal path in Figure 2), respectively.

The online numerical computation of this integral is typically hard to manage in practice due to the two-dimensional pdfs, however, employing a common distribution for the prior and the likelihood allows for a closed-form solution.