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In our estimation of the parametric regression based estimators, since y is a binary variable, equation 3 above is effectively a parametric probabilistic model.
In the context of the model we will consider unbiased estimation of the parametric vector, where is of, by estimators of the form, where is of matrix.
Contrary to traditional regression analysis that estimates the average parametric relationship between cognitive scores and age, stochastic frontier analysis allows estimation of the parametric function that describes all individual scores.
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For the two tracers evaluated in this study, the use of HYPR with a single composite image resulted in a very small error on the estimation of the regional parametric values (see Additional file 6: Figure S5).
Table 4 Results of the estimation of the semi-parametric Cox model and the LOGIT model Cox model Variables Parameters Hazard ratios Socio-demographic attributes Gender (female = ref).
To provide the minimum of the mean-squared error of the estimation, the parameters of the parametric and non-parametric parts are estimated by means of the bootstrap method and the structural risk minimization method.
The result of the non-parametric spectral density estimation and the parametric Ljung Box test of the load factors of the EM and EF flights is given in Table 7.
This 1TCM has only three parameters, which Germino et al. used successfully for the estimation of parametric images showing the influx-rate (K1 uptake), efflux-rate (k2 washout), and fractional blood volume (VA spillover).
Sensitivity analyses using Kaplan Meier (non-parametric) estimation supported the results of the parametric modelling.
A new cross-spectral analysis procedure is proposed for the parametric estimation of the relationship between two time sequences in the frequency domain.
In addition, the parametric estimation of the induced stress/strain resulting from the geometries of fine-pitch TSVs under temperature cycling loads is also performed by using non-linear finite element analysis.
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