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This is done by introducing a permutation of the data points as an auxiliary variable.
We have introduced a discrete equation and associated boundary conditions for an auxiliary variable.
Two perturbation schemes are considered, a model perturbation and an auxiliary variable perturbation.
A sampling design stratified by an auxiliary variable correlated with forest cover change has this adaptability.
We introduce an auxiliary variable to a mixed formulation of the problem.
As for actuator saturation problem, an auxiliary variable is introduced and accommodated by the disturbance observer.
In this model, the topographic index is used as an auxiliary variable correlated with the soil storage capacity.
Moreover, the input saturation constraint is overcome via introducing an auxiliary variable to compensate for the overshooting.
Because this MH acceptance probability involves a ratio of intractable integrations, the DUMH algorithm uses an auxiliary variable to cancel out the intractable ratio.
In this paper, we propose an empirical log-likelihood estimator for estimating the population mean of a sensitive variable in the presence of an auxiliary variable.
The probability integral transform is used to develop an auxiliary variable approach that facilitates a single-level representation of both aleatory and epistemic uncertainty.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com