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In this section, we introduce our method to estimate the parameters in model (2.1) based on maximizing the estimated partial likelihood.
The number of populations that best represents the observed data under the model implemented was determined by maximizing the estimated Ln likelihood of the data for different values of K. Third, we used the Bayesian clustering algorithm implemented in Baps 4 [71] to identify the optimal number K of partitions among groups of samples.
The group-specific distance between two signatures of genomes from a group is given by the following: (6) where M is a diagonal matrix learned by maximizing the estimated generalization performance with training data from the same group (as x and y).
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An LMI-based optimization problem is then derived for computing the state feedback gains maximizing the estimate of the stability region of the closed-loop system.
Then the parameters β can be estimated by maximizing the following estimated partial likelihood function (EPL): EPL beta)=prod_{i=1}^{n}left{frac{hat{r}_{i}(beta,S_{i})}{sum_{jin {mathcal R}(S_{i})}hat{r}_{j}(beta,S_{i})}right}^{delta_{i}}.
The unmixing matrix is estimated by maximizing the statistical independence of the estimated components.
The segmentation was performed by maximizing the autonomy estimate.
In general, this critical value is unknown, however, so experiments simply try to maximize it, and the estimated values for astronomical bodies provide some guidance as to what values may be necessary in a given configuration.
We describe here the derivations of the parameter estimates maximizing the MAP.
The hyperparameters, i.e. the variances, are estimated through maximizing the marginal likelihood, and the variables with zero variance estimates are pruned from the model.
To estimate the effect of circumcision on HR-HPV clearance, the Weibull frailty model 4 and log-logistic AFT frailty model 6 were applied respectively, and the model parameters were estimated by maximizing the full likelihood given in equation 7. Table 2 lists the parameter estimates from the Weibull frailty model (left panel) and Log-logistic frailty model (right panel) obtained by PROC NLMIXED.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com