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In a pre-API world, Watson's applications would, in all likelihood, constrained to software and technology applications.
The form of the likelihood at (3) has been presented in other contexts such as empirical likelihood constrained maximum likelihood estimation and inference, e.g. see Zhou (2005) and the references there within.
If E. zonatum were closely related to LHI05, then it would be an acanthamoebid according to the maximum likelihood constrained tree (data not shown).
The SH-test was then run comparing the maximum likelihood constrained tree to the unconstrained consensus Bayesian tree or to 100 bootstrap trees from the maximum likelihood analysis from PhyML.
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Finally, these parameters were optimized with maximum likelihood, constraining the topology to that estimated from the full six-gene dataset.
Using Bayes Factors, the evidence against a hypothesis of Halocaridina as a sister was "Substantial" ([63]; 2×dinferences in logs = 6.12) (unconstrained harmonic mean marginal likelihood = –4122.84; Halocaridina constrained likelihood = –4125.90).
One of the popular maximum-likelihood (ML) constrained methods for Gaussian kernel PDF estimation is expectation maximization (EM) algorithm.
If L ( r ) is a fairly flat function of r around the maximum, then maximum likelihood poorly constrains the values, corresponding to large variances in the normal distribution.
The evidence against an Antecaridina sister was "Very Strong" (2×logs = 15.10) (Antecaridina constrained likelihood = –4130.39).
The harmonic mean of log-likelihood values constraining traditional hirudinids and traditional haemopids together to be a monophyletic group was -44589.01 (yielding a Bayes Factor of -66.64).
The harmonic mean of log-likelihood values constraining traditional hirudinids to be monophyletic was -45054.72 (yielding a Bayes Factor of -998.06).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com