Sentence examples for approximation to the log-likelihood from inspiring English sources

If we assume that (g_{yy}(lambda )) is not zero at any of those frequencies, the so-called Whittle (discrete) spectral approximation to the log-likelihood function is3 begin{aligned} -frac{NT}{2}ln (2pi )-frac{1}{2}sum _{j=0}^{T-1}ln left| g_{yy}(lambda _{j} right| -frac{1}{2}sum _{j=0}^{T-1}frac{2pi I_{yy}(lambda _{j})}{g_{yy}(lambda _{j})}.

This yields an approximation to the log-likelihood of the model [ Equation (4)].

Confidence intervals were based on a quadratic approximation to the log likelihood.

Odds ratios (OR) and 95% confidence intervals (CI), derived from a quadratic approximation to the log likelihood, are reported.

One way to detect problems with a Normal approximation to the log likelihood log l is to compare the values of l / l from the true and approximated likelihoods (Raghunathan et al., 2001).

The clustering employs linear dot-scoring, a fast and simple technique for scoring test segments against target models which employs the first-order Taylor-series approximation to the GMM log-likelihood.

The harmonic mean likelihood from the Metropolis-coupled Markov chain Monte Carlo (MCMCMC) iterations (after burnin was discarded) was used as an approximation to the marginal log-likelihood of the data [16].

The quasi-likelihood function was introduced by Robert Wedderburn in 1974 to describe a function which has similar properties to the log-likelihood function, except that a quasi-likelihood function is not the log-likelihood corresponding to any actual probability distribution.

Their contribution to the log-likelihood value was comparable to the one of the main effects variables.

The basic idea is that in each step we use a Gaussian approximation for the posterior and a quadratic approximation for the log-likelihood function.

INLA is based on a Gaussian approximation of the log-likelihood functions which, in this case, has a very non-Gaussian distribution, and the Laplace approximation is poor.