Fonction de répartition loi normale — Les-mathematiques.net The most powerful custom community solution in the world

Fonction de répartition loi normale

Bonjour,
j'aimerais tracer la fonction de répartition associée à la loi normale centrée réduite, j'ai donc tenté d'utiliser la commande \psGaussI du package \pstfunc.
J'obtiens malheureusement un dessin quelque peu chaotique, notamment sur l'intervalle $[1;+\infty[$.
Y aurait-il un paramètre magique permettant d'obtenir une courbe correcte ?

Merci et bonne soirée.
F.

Réponses

  • As-tu augmenté le paramètre "plotpoints" comme suggéré ici ?
  • Bonjour,

    oui j'ai essayé d'augmenter la valeur de "plotpoints" mais celà n'a rien donné, par contre en parcourant de façon plus approfondi la documentation de pst-func, j'ai trouvé le paramètre "simpson" qui permet d'augmenter la précision du calcul de l'intégral sous jacente et donne de jolis tracés.

    J'ai par contre essayé de tracer une fonction du type
    $a \mapsto \int_{-a}^a f(t)dt$, $f$ désignant la densité associée à la loi normale centrée réduite, mais je n'y suis pas parvenu. La fonction "psGaussi" permet de tracer le graphe de la fonction de répartition sur un ntervalle donné, mais je n'ai rien trouvé permettant de calculer la valeur de la fonction de la répartition en 1 point....

    Bonne journée

    F.
  • Bonjour,

    Voici un fichier Géogebra qui te permettra d'exporter ensuite selon le format que tu voudras...

    par exemple en tikz
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    \draw[line width=2.4pt,color=rctzbb] (7.181420869565232,0.999999999999655) -- (7.21498521739132,0.9999999999997303);
    \draw[line width=2.4pt,color=rctzbb] (7.21498521739132,0.9999999999997303) -- (7.248549565217407,0.9999999999997894);
    \draw[line width=2.4pt,color=rctzbb] (7.248549565217407,0.9999999999997894) -- (7.282113913043494,0.9999999999998357);
    \begin{scriptsize}
    \draw [fill=black,shift={(-3.2092173913043474,0)}] (0,0) ++(0 pt,3pt) -- ++(2.598076211353316pt,-4.5pt)--++(-5.196152422706632pt,0 pt) -- ++(2.598076211353316pt,4.5pt);
    \draw [fill=black,shift={(-7,0)}] (0,0) ++(0 pt,3pt) -- ++(2.598076211353316pt,-4.5pt)--++(-5.196152422706632pt,0 pt) -- ++(2.598076211353316pt,4.5pt);
    \draw[color=rctzbb] (-6.01746956521739,-0.016699603702047452) node {$f$};
    \end{scriptsize}
    \end{axis}
    \end{tikzpicture}
    \end{document}
    
    
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