Sentence examples for analytical likelihood from inspiring English sources

GN designed the study, performed the analytical likelihood calculations and helped draft the manuscript.

Using the framework of causal Gaussian Bayesian networks, we propose a Markov chain Monte Carlo algorithm with a Mallows proposal model and analytical likelihood maximization to sample from the posterior distribution of causal node orderings, and in turn, to estimate causal effects.

In particular, it provides an analytical maximum likelihood solution that is found iteratively.

However, analytical maximum likelihood (ML) estimation with an α-stable distribution is still an open problem because its probability density function (p.d.f).f

This procedure is known as the analytical-maximum likelihood GLD approach in Su (2009).

It enjoys valuable properties: from the aptitude to model skewed as well as leptokurtic datasets to the availability of moments and likelihood analytical expressions.

The alignment of the ingroup taxa included 187 unambiguously aligned residues with no gap and used for the construction of phylogenetic trees by two different analytical approaches: Maximum likelihood (ML) and Bayesian inference (BI).

The trace metal contents of forage samples were analysed statistically in a mixed effects model with Areas as a fixed effects factor, using the Reml (Residual Maximum Likelihood) analytical model in Genstat [ 11].

Some studies have used a separate gap matrix to incorporate indels into Bayesian analyses (e.g., [ 47]), and recently there have been advances that allow the explicit treatment of gaps in the simultaneous derivation of sequence alignment and tree topology within parsimony, Bayesian, and likelihood analytical frameworks [ 48- 54].

Observational studies typically use multivariate analytical approaches, using maximum likelihood based modelling methods to try to adjust estimates of relative risk for these biases.

Such a framework can help ensure that the process of examining, interpreting and representing vulnerability is done systematically, thus reducing the likelihood of analytical inconsistencies.