Ce cours d'introduction aux probabilit茅s a la m锚me contenu que le cours de tronc commun de premi猫re ann茅e de l'脡cole polytechnique donn茅 par Sylvie M茅l茅ard.

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Al茅atoire : une introduction aux probabilit茅s - Partie 2



Instructors: Sylvie M茅l茅ard
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There are 6 modules in this course
Nous entamons cette semaine le Cours 4 dont le sujet est les vecteurs al茅atoires, c'est-脿-dire, une collection finie de variables al茅atoires r茅elles, comme par exemple des couples de variables al茅atoires. Ce cours s'茅tend sur deux semaines.
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8 videos3 readings1 assignment2 plugins
Il s'agit de la suite et de la fin du Cours 4. Nous allons en particulier g茅n茅raliser le r茅sultat qui nous permet de faire des calculs de lois.
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8 videos4 readings1 assignment2 plugins
Nous entamons le Cours 5 dont l'objet principal est le th茅or猫me commun茅ment appel茅 la 芦 loi des grands nombres 禄. Nous introduirons aussi plusieurs notions de convergence d'une suite de variables al茅atoires.
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11 videos6 readings1 assignment1 plugin
Nous terminons le Cours 5 en donnant des exemples d'applications de la loi des grands nombres. Nous introduisons 茅galement la m茅thode de Monte Carlo.
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6 videos1 reading1 assignment2 plugins
Nous commen莽ons le Cours 6, le dernier de ce MOOC, 脿 cheval sur deux semaines. Cette semaine, on introduit un nouvel outil tr猫s puissant : les fonction caract茅ristiques.
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2 videos
Cette derni猫re semaine est consacr茅e au second pilier de la th茅orie des probabilit茅s : le th茅or猫me de la limite centrale. Ce r茅sultat n茅cessite une nouvelle notion de convergence : la convergence en loi. Nous verrons notamment une application aux intervalles de confiance qui sont utilis茅s pour les sondages.
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11 videos5 readings1 assignment2 plugins
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Reviewed on Aug 21, 2018
Cours tr猫s int茅ressant, qui donne envie d'aller plus loin. Merci beaucoup
Reviewed on Jul 30, 2018
Merci pour ce cours 脿 mi chemin entre la th茅orie et la pratique; tr猫s utile dans l'exploitation et la description du comportement de donn茅es en grandes dimensions :)

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