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Table 3 presents the maximum likelihood estimated parameter values along with their asymptotic standard deviations and confidence bounds.
Confidence intervals for the maximum likelihood estimated (MLE) parameters (P) were calculated from the likelihood profiles following Morgan [33].
Evidence for adaptive evolution at individual codons was tested using an empirical Bayes method [57]: model M2a, with the maximum likelihood estimated parameters, was taken as a prior distribution for ω, and Bayes' formula was used to calculate the posterior distribution of ω at each codon, given the sequence data.
Maximum likelihood estimated parameters of the AIC-inferred best plant-nitrogen cycle model suggest that climate warming was associated with increased rates of conversion of decaying biomass of both species into available nitrogen, increased background loss rates of available nitrogen but decreased background loss rates of total nitrogen.
MP-EST takes as input maximum likelihood estimated gene trees.
Maximum likelihood estimated distances according to the chosen model were used to construct neighbor joining phylogenetic trees.
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Data were analysed by restricted maximum likelihood estimating equations.
The maximum likelihood estimates β ^ are those which maximize this penalized likelihood.
For these parameters, the maximum likelihood estimates (95% confidence intervals) are indicated.
Let where and are the maximum likelihood estimates from (1) and (2), respectively.
All parameters of this model are identifiable and hence have unique maximum likelihood estimates [ 19].
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