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Because MAD does not require an explicit distribution and is the 50th percentile of the residual variation, it has the inherent property of being robust to outliers.
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Even in the case that the magnetic field generated by the initial magnetization is completely known, the explicit distribution of the initial magnetizations cannot be determined uniquely.
The existence of such a formula implies that the resultant piezomagnetic field is determined uniquely, regardless of the non-uniqueness of the explicit distribution of the initial magnetization intensities.
The problem to be solved is whether a given value of Fa uniquely determines the corresponding Fp in the case that the explicit distribution of J i is unknown.
One can use the same method as in the discrete distribution function approach and identify the support of the distribution S F. However, the function z(m) in (26) is simple and the following theorem gives the explicit distribution.
The element takes into account the variation of thermal and mechanical properties along its depth, which can be modeled either by explicit distribution law like the power law and the exponential law or by rule of mixture as used in composite.
But also the latter is not useful for simulations, since the explicit distribution of the increments of the chain is unknown.
Uniform prior distributions for fossil calibration were preferred over more explicit distributions (e.g., lognormal) as a conservative approach, given the limited information available to decide upon the shape of the distribution [ 114].
Further advances in simulating the impacts of deer browsing will benefit from incorporating landscape-scale deer population dynamics and spatially explicit distributions of forest trees.
In the case that the direction of the initial magnetizations is assumed to be uniform, the piezomag-netic field is uniquely determined from the initial magnetic anomalies, regardless of the non-uniqueness of the explicit distributions of the initial magnetizations.
Here we demonstrate how advances in statistics permit the combination of sparse ground sampling with remote sensing imagery to generate biological relevant, spatially and temporally explicit distributions of food resources.
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CEO of Professional Science Editing for Scientists @ prosciediting.com