Import libraries section
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# Scan statistique - Méthode de Monte Carlo et calcul de p-value
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## Import libraries
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```{r}
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library("localScore")
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library("latex2exp")
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library("Rcpp")
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```
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## 1. Proposition for simulations under $\mathcal{H}_1$
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In this part, we propose a method that simulates a Poisson process under the hypothesis $\mathcal{H}_1$. The idea is to simulate a sample under $\mathcal{H}_0$, and add randomly a subsequence under the alternative hypothesis in this sequence. 
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