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The model is a non-homogeneous Poisson process with a multiplicative intensity incorporating covariates through a proportionality assumption.
Under this study design, we developed weighted estimating procedures for model parameters in marginal multiplicative intensity models and for the cumulative baseline hazard function.
The HR and associated 95% CIs were estimated within the Andersen Gill multiplicative intensity regression with treatment group as the only binary variable.
In this article, we have presented a coherent and unified framework for handling such locally linearized image transformations in terms of local scaling transformations, local affine transformations, local Galilean transformations, and local multiplicative intensity transformations, such that the influence of these image transformations on the receptive field responses can be well understood.
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The SNR as a function of the multiplicative noise intensity D with different correlated noise intensity λ = 0.1, 0.3, 0.5 is shown in Figure 8 e) according to the theoretical results (Eq. (31)) (the other parameters are fixed).
The SNR as a function of the multiplicative noise intensity D with different additive noise intensity α = 0.01, 0.03, 0.05 is plotted in Figure 8(c) according to the theoretical results (Eq. (31)) (the other parameters are fixed).
It must be emphasized that the height of the first peak of SNR is more lower than the one of the second peak, and the position of the first peak is located in the very small value of the multiplicative noise intensity D. Namely, the additive noise intensity α can restrain the SR and induce the multiple SR.
When the multiplicative noise intensity is instead held constant, the optimal threshold levels are not all identical for small additive noise intensity but are all equal to zero for large additive noise intensity.
Other famous examples in biomedical areas such as the multiplicative Aalen intensity or the Cox model can be found in [29].
Figure 12 displays the SNR as a function of multiplicative noise intensity D with different delay time τ2 = 0.1, 0.3, 0.5, when the other parameters are fixed.
The SNR as a function of multiplicative noise intensity D with different delay time τ1 = 0.1, 0.3, 0.4 is plotted in Figure 8(a) according to the theoretical results (Eq. (31)) (the other parameters are fixed).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com