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Deddens et al. extended Skov's maximum likelihood solution to situations in which the MLE is on the boundary of the parameter space [ 12].
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The exact maximum likelihood (ML) solution to this problem is computationally demanding as it involves a line search over the CFO uncertainty range.
One difference that accounts for this discrepancy is the higher average in-degree for blocks in the parsimony solution (2.2) as compared to the likelihood solution (1.3).
If the GMYC model is favoured over the null model, the T parameter of the maximum likelihood solution allows the number of species to be estimated.
We combine the likelihood from each sample to produce a joint likelihood for all samples together, and using initially stochastic search then directed search methods we try to identify a maximum likelihood solution.
The hypocenters are then determined from the arrival time data using the program HYPOMH, which is based on a simple algorithm to find the maximum likelihood solution using a Bayesian approach (Hirata and Matsu'ura, 1987).
We determined hypocenters by a program of HYPOMH, which is based on a simple algorithm to find the maximum likelihood solution with a Bayesian approach (Hirata and Matsu'ura, 1987).
We intentionally chose uninformative prior distributions to approximate a maximum likelihood solution.
Based on the likelihood function, an approximate solution to the maximum likelihood estimation of the parameters can be obtained using the EM algorithm.
To ensure that a true (rather than local) maximum likelihood solution had been reached, we used 100, 1,000, or 10,000 random start values (as necessary) to fit each model.
In all models, multiple random starts were used to help achieve the optimal maximum likelihood solution.
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