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But you're asking what does it mean to choose a mean function of zero.
Then we use the mean function of the Gaussian process to infer the multiple RSS source locations.
The negative binomial model improves the efficiency of the Poisson model by adding a parameter, and an error term to the mean function of the Poisson distribution.
This regression line is a mean function of the measure of heterogeneity compared to the different diffuse heterogeneity and focal defect levels generated in the phantoms.
In general, the mean function of a commonly described stationary process refers to the time average of the random process, while the mean in (112) is indeed interpreted as a spatial average of the random response.
The NBM follows from the Poisson model but introduces an additional parameter, an error term ε j, to the mean function of the Poisson distribution as in Equation A3. {tilde{mu}}_j=Eleft {y}_jleft|{x}_jright.right)={e}^{x_jbeta +{varepsilon}_j},.{y}_j=0,1,2dots dots dots (A3).
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Whilst the mean functions of some covariates may be assumed to be linear, the non-linear mean functions are modelled using smoothing methods, such as kernel smoothers, lowess, smoothing splines or regression splines.
K-means was performed with the "k-means" function of the R package "stats" [ 41].
The k-means function of the R cluster package was used to cluster individuals into 5, 10, 15 and 20 groups using these PCA scores.
GAM [ 11] is an extension of the Generalised Linear Model (GLM) where the modelling of the mean functions relaxes the assumption of linearity, albeit additivity of the mean function pertaining to the covariates are assumed.
The mean frequency function of the imaged COPD distribution is shifted towards higher CV values compared to the mean frequency function of the imaged healthy distribution (see Figure 2a).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com