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The harmonic mean estimator of the marginal likelihood is only decisive when the ln(BF) is > 4.6.

We have chosen to calculate Bayes Factors using thermodynamic integration [ 18], since the harmonic mean estimator of the marginal likelihood systematically favors parameter-rich models.

We have chosen to calculate Bayes Factors using thermodynamic integration [ 24], since the traditional harmonic mean estimator of the marginal likelihood systematically favours parameter-rich models and is hence unfit to compare these complex context-dependent models.

We have chosen to calculate Bayes Factors using thermodynamic integration [ 11], since the traditional harmonic mean estimator of the marginal likelihood systematically favors parameter-rich models and is hence unfit to compare these complex context-dependent models.

These estimates are not subject to the large, even infinite variances (R aftery et al. 2007; C alderheada and G irolami 2009) associated with the harmonic mean estimator of marginal likelihoods (N ewton and R aftery 1994).

Similar(55)

Diversity of the TCR repertoires was calculated using the Chao mean estimators of unobserved species with 95% confidence intervals obtained via bootstrap method based on 10,000 resamples [30].

Given the known problems with harmonic mean estimators of marginal likelihoods, accurately determining the number of discrete populations is difficult.

Although the harmonic-mean estimators of Bayes factors such as those implemented in the software packages used here can be unreliable [ 30, 31], the magnitude of our estimated Bayes factors (see Additional file 2) make it unlikely that we have been misled into selecting a suboptimal partitioning strategy for this alignment.

Since the least-squares estimator for multiple samples is the sample mean estimator [13], the estimate of channel coefficient for a frame becomes (3).

Values of indicate poorer frequency tracking than a simple mean estimator and those of indicate accurate frequency tracking.

We used S2FST instead of the FST mean estimator from each group of adjacent SNPs, since a measure of FST mean across an array of loci would be more sensitive to those alleles that reached fixation in the form of the opposite allele, and less sensitive for those fixed in the same direction while variance captures this alternation.

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