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To make the LRT applicable, we may estimate the unknown parameters first and then use the estimated parameters in the LRT.
In addition, we estimate distribution parameters for each of five bootstrap samples, use the estimated parameters to impute values < LOD for the original sample from which we generated the five bootstrap samples, and combine results across the five imputed data sets to obtain MI estimates.
Then we use the estimated parameters to simulate the effects of alternative revenue-neutral tax systems on labor supply.
We then use the estimated parameters to measure the behavioral effects of alternative tax systems: joint family taxation, a system inspired by the British working tax credit, and gender-based taxation.
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(54) In Figure 8, we assume the parameter for the Black-Scholes model and use the estimated parameter for the SCP model (see Figure 7).
The simplest is to abandon proper imputation if perfect prediction is detected — that is, to use the estimated parameter θ ˆ rather than a draw θ ∗ from the posterior.
We denote Middleton-1 and Middleton-2 the estimated Middleton class A noise calculated using the estimated parameters (Aest = 0.0280, Γest = 0.3978) and (Aest = 0.3575, Γest = 0.1194), respectively.
For prediction, the model uses the estimated parameters (compartment OGIP, transmissibility coefficients between compartments and flow parameters for each layer) to calculate the production rates and reservoir pressures for every well/tank based on a provided bottom-hole flowing pressure.
Analytic approximate equations developed from the critical path analysis (CPA) of percolation theory enable us to calculate explicitly the absolute permeability and the formation factor of the porous rocks using the estimated parameters (PBRD, PTRD, DAF) of the macroporosity.
In Fig. 5B we have used the estimated parameters for the individual lichens to run the forward dynamics.
While most of these studies have focused on the characterization of heterogeneity in spatial organization and its dependence on different conditions, some have even used the estimated parameters to fit biophysical models (Greenfield et al. 2009; Hess et al. 2007).
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