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Thereby the mean function is given by: mathrm{E}left yBig|xright)=mu left xbeta right).
To obtain a crowd speed value v, a weighted mean function is applied on the speed measures of the pedestrians around the location r →.
Its mean function is given by (79) without the consideration of static loads or by (80) with the consideration of static loads.
The weighted arithmetic mean function is ambiguity free function, shows small eclipsing with large number of variables and is widely used aggregation function.
Remark 3.8 Abdel-Hameed [1] proved the IFR property for non-homogeneus gamma wear process, when the mean function is convex.
For the sake of simplicity and parsimony, the mean function is often chosen to be zero, and this is the approach we adopt here.
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The fractal mean function was used to estimate the overall fractal D value for movement paths at night and day.
This mean function was somewhat wider than encountered in either 2006 or 2007, and is thus likely conservative with respect to the potential demographic costs of selection.
This estimated mean function was obtained using a statistical procedure developed for sparsely distributed data [ 30] and uses a local kernel smoother approach.
We next see that the φ-mean function is strictly concave (or convex) on a suitable convex subset of C sm, f (I) (see Theorem 3).
The next result asserts that the φ-mean function is strictly concave (or convex) on a suitable convex subset of C sm,f (I).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com