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Loi géométrique - Historique des versions
2026-04-29T13:28:29Z
Historique des versions pour cette page sur le wiki
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Pitpitt : Remplacement de texte : « Catégorie:GRAND LEXIQUE FRANÇAIS » par « »
2024-08-24T00:31:59Z
<p>Remplacement de texte : « <a href="/wiki/Cat%C3%A9gorie:GRAND_LEXIQUE_FRAN%C3%87AIS" title="Catégorie:GRAND LEXIQUE FRANÇAIS">Catégorie:GRAND LEXIQUE FRANÇAIS</a> » par « »</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version du 23 août 2024 à 20:31</td>
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Pitpitt
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Pitpitt : Remplacement de texte : « ↵<small> » par «
==Sources== »
2024-01-28T14:59:35Z
<p>Remplacement de texte : « ↵<small> » par « ==Sources== »</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version du 28 janvier 2024 à 10:59</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[https://ontostats.univ-paris8.fr/omk/s/logicielsStats/item/5523 Source : univ-paris8.fr ]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[https://ontostats.univ-paris8.fr/omk/s/logicielsStats/item/5523 Source : univ-paris8.fr ]</div></td></tr>
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Pitpitt
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Pitpitt : Remplacement de texte : « '''<span style="font-size:18px">GLOSSAIRE DE LA STATISTIQUE</span>'''↵Catégorie:Statistiques » par « {{Modèle:Statistiques}}
Catégorie:Statistiques »
2024-01-05T01:06:52Z
<p>Remplacement de texte : « <a href="/wiki/Cat%C3%A9gorie:Statistiques" title="Catégorie:Statistiques"> '''<span style="font-size:18px">GLOSSAIRE DE LA STATISTIQUE</span>'''</a>↵<a href="/wiki/Cat%C3%A9gorie:Statistiques" title="Catégorie:Statistiques">Catégorie:Statistiques</a> » par « {{Modèle:Statistiques}} <a href="/wiki/Cat%C3%A9gorie:Statistiques" title="Catégorie:Statistiques">Catégorie:Statistiques</a> »</p>
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Pitpitt
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Pitpitt : Remplacement de texte — « Glossaire de la statistique DataFranca<br> » par « '''<span style="font-size:18px">GLOSSAIRE DE LA STATISTIQUE</span>''' »
2023-04-11T20:16:31Z
<p>Remplacement de texte — « <a href="/wiki/Cat%C3%A9gorie:Statistiques" title="Catégorie:Statistiques"> Glossaire de la statistique DataFranca</a><br> » par « <a href="/wiki/Cat%C3%A9gorie:Statistiques" title="Catégorie:Statistiques"> '''<span style="font-size:18px">GLOSSAIRE DE LA STATISTIQUE</span>'''</a> »</p>
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Pitpitt
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Pitpitt : Remplacement de texte — « © Glossaire » par « Glossaire »
2023-02-15T19:09:52Z
<p>Remplacement de texte — « © Glossaire » par « Glossaire »</p>
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Pitpitt
https://datafranca.org/wiki/index.php?title=Loi_g%C3%A9om%C3%A9trique&diff=51778&oldid=prev
Pitpitt le 9 mai 2021 à 13:27
2021-05-09T13:27:05Z
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Pitpitt
https://datafranca.org/wiki/index.php?title=Loi_g%C3%A9om%C3%A9trique&diff=51775&oldid=prev
Imeziani le 9 mai 2021 à 12:57
2021-05-09T12:57:38Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version du 9 mai 2021 à 08:57</td>
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Imeziani
https://datafranca.org/wiki/index.php?title=Loi_g%C3%A9om%C3%A9trique&diff=51774&oldid=prev
Imeziani le 9 mai 2021 à 12:57
2021-05-09T12:57:13Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Version précédente</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version du 9 mai 2021 à 08:57</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Ligne 1 :</td>
<td colspan="2" class="diff-lineno">Ligne 1 :</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Définition ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Définition ==</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">La loi géométrique est une loi </del>de probabilité <del style="font-weight: bold; text-decoration: none;">apparaissant dans de nombreuses applications. La loi géométrique de paramètre p (0 < p < 1) correspond au modèle suivant :</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Loi </ins>de probabilité <ins style="font-weight: bold; text-decoration: none;">discrète qui modélise l’observation du nombre d’épreuves </ins>de Bernoulli <ins style="font-weight: bold; text-decoration: none;">identiques </ins>et <ins style="font-weight: bold; text-decoration: none;">indépendantes devant se succéder pour espérer un </ins>premier succès.</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">On considère une épreuve </del>de Bernoulli <del style="font-weight: bold; text-decoration: none;">dont la probabilité de succès est p </del>et <del style="font-weight: bold; text-decoration: none;">celle d'échec q = 1-p.</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">On renouvelle cette épreuve de manière indépendante jusqu'au </del>premier succès<del style="font-weight: bold; text-decoration: none;">. On appelle X la variable aléatoire donnant le rang du premier succès.</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Les valeurs de X sont les entiers naturels non nuls 1, 2, 3, ... La probabilité que X = k est alors, pour k = 1, 2, 3, ... :</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">P (X=k)=q^{k-1}p.</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">On dit que X suit une loi géométrique de paramètre p</del>.</div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Français ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Français ==</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">'''distribution géométrique''' </del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''loi géométrique'''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''loi géométrique'''</div></td></tr>
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Imeziani
https://datafranca.org/wiki/index.php?title=Loi_g%C3%A9om%C3%A9trique&diff=49121&oldid=prev
Pitpitt le 2 avril 2021 à 21:17
2021-04-02T21:17:32Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version du 2 avril 2021 à 17:17</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Ligne 1 :</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Définition ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Définition ==</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">La loi géométrique est une loi de probabilité apparaissant dans de nombreuses applications. La loi géométrique de paramètre p (0 < p < 1) correspond au modèle suivant :</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">On considère une épreuve de Bernoulli dont la probabilité de succès est p et celle d'échec q = 1-p.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">On renouvelle cette épreuve de manière indépendante jusqu'au premier succès. On appelle X la variable aléatoire donnant le rang du premier succès.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Les valeurs de X sont les entiers naturels non nuls 1, 2, 3, ... La probabilité que X = k est alors, pour k = 1, 2, 3, ... :</ins></div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">P (X=k)=q^{k-1}p.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">On dit que X suit une loi géométrique de paramètre p.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Français ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Français ==</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''distribution géométrique''' </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''distribution géométrique''' </div></td></tr>
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<td colspan="2" class="diff-lineno">Ligne 18 :</td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><small></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><small></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[https://ontostats.univ-paris8.fr/omk/s/logicielsStats/item/5523 Source : univ-paris8.fr ]</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[http://isi.cbs.nl/glossary/term1392.htm Source : ISI ]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[http://isi.cbs.nl/glossary/term1392.htm Source : ISI ]</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Catégorie:ISI]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Catégorie:ISI]]</div></td></tr>
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Pitpitt : Remplacement de texte — « [[:Catégorie:ISI | © Glossaire » par « [[:Catégorie:Statistiques | © Glossaire »
2021-03-26T23:30:33Z
<p>Remplacement de texte — « [[:Catégorie:ISI | © Glossaire » par « [[:Catégorie:Statistiques | © Glossaire »</p>
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