{"title":"Le théorème central limite","authors":"Olivier Castéra","doi":"10.1051/978-2-7598-2085-6.c034","DOIUrl":"https://doi.org/10.1051/978-2-7598-2085-6.c034","url":null,"abstract":"1. Variable aléatoire. Espérance. Moments. Variance. 1 2. Inégalité de Bienaymé-Tchébychev 3 3. Fonctions de variables aléatoires 4 3.1. Somme de deux variables aléatoires 6 3.2. Produit de deux variables aléatoires 8 4. Théorème central limite 9 4.1. Fonction caractéristique 9 4.2. Fonction caractéristique de la loi normale 10 4.3. Somme de deux lois normales 11 4.4. Théorème central limite 11 5. Les lois des grands nombres 14 5.1. Théorème de Tchébychev 14 5.2. Théorème de Tchébychev généralisé 15 5.3. Théorème de Markov 16","PeriodicalId":137702,"journal":{"name":"Les statistiques en images","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123149743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"La sélection naturelle : les formes changeantes des distributions darwiniennes","authors":"","doi":"10.1051/978-2-7598-2085-6.c055","DOIUrl":"https://doi.org/10.1051/978-2-7598-2085-6.c055","url":null,"abstract":"","PeriodicalId":137702,"journal":{"name":"Les statistiques en images","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121530301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"La quantification de matière pour faire de la bière","authors":"","doi":"10.1051/978-2-7598-2085-6.c095","DOIUrl":"https://doi.org/10.1051/978-2-7598-2085-6.c095","url":null,"abstract":"","PeriodicalId":137702,"journal":{"name":"Les statistiques en images","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126895235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Alors, qu’est-ce donc qu’une distribution normale ?","authors":"","doi":"10.1051/978-2-7598-2085-6-038","DOIUrl":"https://doi.org/10.1051/978-2-7598-2085-6-038","url":null,"abstract":"","PeriodicalId":137702,"journal":{"name":"Les statistiques en images","volume":"282 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122296766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"La méthode des moments","authors":"","doi":"10.1051/978-2-7598-2085-6.c054","DOIUrl":"https://doi.org/10.1051/978-2-7598-2085-6.c054","url":null,"abstract":"","PeriodicalId":137702,"journal":{"name":"Les statistiques en images","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134350421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"La validité des tests","authors":"","doi":"10.1051/978-2-7598-2085-6-090","DOIUrl":"https://doi.org/10.1051/978-2-7598-2085-6-090","url":null,"abstract":"","PeriodicalId":137702,"journal":{"name":"Les statistiques en images","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130991302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Causalité et corrélation fallacieuse","authors":"","doi":"10.1051/978-2-7598-2085-6-068","DOIUrl":"https://doi.org/10.1051/978-2-7598-2085-6-068","url":null,"abstract":"","PeriodicalId":137702,"journal":{"name":"Les statistiques en images","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115354193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Variables nominales et ordinales","authors":"","doi":"10.1051/978-2-7598-2085-6-065","DOIUrl":"https://doi.org/10.1051/978-2-7598-2085-6-065","url":null,"abstract":"","PeriodicalId":137702,"journal":{"name":"Les statistiques en images","volume":"369 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116119587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}