Sentence examples for the likelihood needs from inspiring English sources
Although this approach is appealing, for every value of θ, the likelihood needs to be re-evaluated, resulting in a considerable increase in running time.
The likelihoods need to be defined by a limit process: the probability $P(h_{\theta})$ is infinitely small so that we cannot define $P(s \mid h_{\theta})$ in the normal manner.
Applying the 'skyline plot' approach to microsatellite polymorphism at dozens of loci presents several difficulties because the mutational process of microsatellites only provides poor information on the coalescence trees, and the calculation of the exact likelihood needs the simulation of very many admissible trees which requires very long calculation time (e.g., MSVAR software).
However the whole likelihood needs to be used that incorporates the mechanism of the second stage sample size determination.
In Bayesian filtering, the conditional likelihood needs to be known only up to a proportionality factor (see Section 3).
The likelihood function needs to be fully specified in order to calculate the likelihood ratio statistics determined at the average of the parameter estimates over the m imputations from fitting the regression model either subject to the null hypothesis or the alternative hypothesis with covariates included.
Information criteria have the advantage that they are easily derived from the fitted model because essentially only the log-likelihood needs to be evaluated as well as the effective degrees of freedom determined.
The government has a key responsibility to ensure that we all are better informed about healthy life expectancies, pension projections, the likelihood of needing social care and its cost, and how best to use our assets.
In this specific case no maximization of the likelihood was needed.
When one focuses on the maximum likelihood estimation, the likelihood equations need to be deduced by the matrix differential method.
In the Bayesian method [13], the objective is to evaluate the likelihood functions needed in the LRT through marginalization, that is, (10).
