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The fundamental principle was to establish several nested models with restrictions imposed gradually and prove the invariance of restricted parameters by comparing the differences of goodness of fit between these models based on assuming the previous model to be correct [ 38].
Here, β 0 ∧ describes the model's restricted parameters, while f i x, β 0 ∧ ≥ 0 ∀ i, x is the monotonicity restriction imposed on the model.
Significance thresholds with corresponding α levels are given for each haplotype calling method with the standard parameters and a set of more restricted parameters.
Clearly, with the exception of gKCa and gVV for burst frequency and burst duration, and gh for burst frequency, the overall order from the most restricted to the least restricted parameters is the same for the four analyzed properties.
The restricted parameters of "true" hardcore have always driven the more ambitious acts to express themselves via different mediums.
One drawback of this approach is that it does not involve the determination of the standard errors for the restricted parameters (Tiedemann and Latacz-Lohmann [2012]).
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Consider the general multivariate linear model with respect to inequality restricted parameter set: (1.1).
By using the methods of linear algebra and matrix inequality theory, we obtain the characterization of admissible estimators in the general multivariate linear model with respect to inequality restricted parameter set.
Specifically, it requires that the true parameter lies in a neighborhood of the restricted parameter space, and that the estimator is asymptotically Normal with a consistent variance.
First, the n = 3 restricted parameter space was used for cycles 1 - 3 and the default parameter ranges from Table 1 were used for cycle 4 (Additional File 3 Figure S4H).
In this table, the standard errors are derived from the Hessian provided by the Nelder Mead optimization, where the delta method was used for those parameters that have a restricted parameter space and were estimated using a transformation.
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