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Any specified view of a variance function graph can be inset into any other view.
Four nonparametric estimators of the conditional variance function based on local polynomial fitting are proposed.
In this model the conditional mean function and the conditional variance function are unknown curves.
Using sample variances for estimating a variance function is intuitively more appealing than using residuals.
However, outliers may have some effect on the estimate of the variance function.
In this case, we used the varIdent variance function implemented in the nlme package [69].
The GAM was fit with a normal distribution, the log link, and the default variance function.
The proposed method is employed to estimate the median function and the variance function of a heteroscedastic regression model.
The evaluation function based on image gray gradient is the most widely used definition evaluation function, which includes absolute variance function, Roberts gradient summation function, Brenner function, power function, variance function, Laplacian function, and Tenengrad function, etc. [17].
The first of them employs the above variance function (mathbf {V}_{{mathcal Z}_{p}}(cdot)) given by (37).
bIn contrast to Basu & Rathouz [16], we found that the PGLM/EEE with a power variance function failed to converge.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com