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In order to illustrate the interval estimation of the parameters in Section 3.4, we have included the asymptotic confidence intervals at 95percentt for the models with beta and GB1 marginals (Tables 7, 8 and 9).
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Table 1 illustrates the interval between illness onset and CSF with or without serum sample collection (≤ 4 days).
The 2 vertical lines in Figure 1 B, C illustrate the analysis interval.
To illustrate the confidence intervals graphically, we also captured predicted values of the probability of sharing a pathogen at 5-My intervals, for each of the 1000 models, and then calculated the 0.025, 0.5, and 0.975 quantiles to use for 95% confidence intervals of the curves.
Also, Figures 5 and 6 illustrate the enclosure intervals for ε = 10−8 and ε = 10−12 respectively, but for m = 10, θ =1/5.
Similarly, Figures 3 and 4 illustrate the enclosure intervals dominating μ 4 for h = 0.1, N = 20 and ε = 10 − 2, ε = 10 − 5, respectively.
Figures 3 and 4, for N = 20, m = 6 and θ = 1/7, illustrate the enclosure intervals for ε = 10−8 and ε = 10−12 respectively.
Figures 1 and 2 illustrate the enclosure intervals dominating μ 1 for N = 20, h = 0.1 and ε = 10 − 2, ε = 10 − 5, respectively.
Figures 3 and 4, for N = 20, m = 10 and θ = 1 / 10, illustrate the enclosure intervals for ε = 10 − 10 and ε = 10 − 15, respectively.
Here Figures {5, 6}, {7, 8} illustrate the enclosure intervals dominating μ 2 and μ 3 for h = 0.3, N = 40 and ε = 10 − 2, ε = 10 − 5, respectively.
Two illustrative numerical examples illustrate the efficiency of the interval analysis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com