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The proposed method can calculate an optimized threshold for all probabilities of impulsive noise occurrence.
A fixed threshold does not always determine the IN-affected samples truly for all probabilities of IN occurrence.
At high SNR, the probability of detection for all algorithms is 1 almost for all probabilities of false alarm.
The maximum achievable relative SNR gain is about 2.24 dB for p = 0.1, 1.16 dB for p = 0.01, and 1.73 dB for p = 0.03. Figure 8 shows that the relative SNR gain is never less than 0 for all probabilities.
To see why it is the only revision rule that has these properties for all probabilities, notice that P might be atomless in the sense that any hypothesis to which it assigns a positive probability can be subdivided into disjoint hypotheses that also have positive probability.
A gamma distribution was assumed for all costs and a logistic normal distribution for all probabilities.
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For all probability combinations we perform 25 simulations.
For all kernel functions K and W, for all probability density functions ξ and η, f is an increasing of λ.
For instance, probabilities are not truth functional, because the probability of A∩B is not determined by the probability of A and the probability of B. That is, there is no function f such that for all probability
Receiver operating characteristic curves were plotted, recording sensitivity vs 1-specificity for all probability cut-points of the predictive model.
We conclude from the simulation studies that the results are similar for all probability distributions and that the accuracy of the methods does not rely on a correct assumption regarding the distribution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com