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Between the dual frames, one is the immediate previous frame and the other is the McFIS, assuming that motion areas and normal/uncovered static areas will be referenced from the immediate previous frame and the McFIS, respectively, through Lagrangian optimization.
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Then we use the method to construct m band affine (wavelet) frames with the given scaling filter and the dual frames.
In both the previous landline only survey and the dual frame approach weights vary because of use of difference selection probabilities between strata, the sampling of one person per household and the calibration to age-sex benchmarks.
To adjust for any inherent differences between the 2011 dual frame sample and the Victorian population age and gender distributions, the sample was weighted based on 2009 Estimated Resident Population statistics [ 20].
However, the differences in estimates between the landline sample (as traditionally used in survey research) and the dual-frame sample utilised in this study were generally small and non-significant, with significant differences in prevalence only found for current smoking (16.1% in the landline sample, compared with 21.0% in the dual-frame sample).
Again, the landline-only polls typically overstated the Republican margin, while the average of the dual-frame samples came much closer.
Similarly, while there were significant differences between the samples for cannabis use in logistic regression models, prevalence estimates from the landline sample were not significantly different to those based on the dual-frame data.
We construct a fusion frame {W, w} such that its dual fusion frame {W, v} is the unique probability optimal dual frames in some cases.
The canonical dual frame ({S'psi _{i}:iinmathbb{Z}}) of a tight frame is simply ({frac{1}{A}psi _{i}:iinmathbb{Z}}).
In Eq. (4), γ(t) is the dual window of g(t) and ( mathcal{G}left(gamma, a, bright) ) is the corresponding dual frame.
This section characterizes (L^{2}(mathbb {R}_))-frames and dual frames of the form (1.4).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com