all: made some binary files
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BIN
ex-5/casino
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ex-5/casino
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BIN
ex-5/manual
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ex-5/manual
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ex-5/trifecta
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ex-5/trifecta
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@ -231,8 +231,24 @@ Cramér-Rao bound.
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The following results were obtained:
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$$
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p_{\text{max}} = 10 \pm 0.016 \with \chi^2 = 0.072
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p^{\text{oss}}_{\text{max}} = 10.005 \pm 0.018 \with \chi^2 = 0.071
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$$
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In order to compare $p^{\text{oss}}_{\text{max}}$ with the expected value
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$p_{\text{max}} = 10$, the following compatibility t-test was applied:
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$$
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p = 1 - \text{erf}\left(\frac{t}{\sqrt{2}}\right)\ \with
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t = \frac{|p^{\text{oss}}_{\text{max}} - p_{\text{max}}|}
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{\Delta p_{\text{max}}}
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$$
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where $\Delta p_{\text{max}}$ is the absolute error of $p_{\text{max}}$. At 95%
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confidence level, the values are compatible if $p > 0.05$.
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In this case:
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- t = 0.278
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- p = 0.781
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which allows to assert that the sampled points actually follow the predicted
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distribution.
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