École Polytechnique
Aléatoire : une introduction aux probabilités - Partie 2
École Polytechnique

Aléatoire : une introduction aux probabilités - Partie 2

Sylvie Méléard
Jean-René Chazottes
Carl Graham

Instructors: Sylvie Méléard

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Gain insight into a topic and learn the fundamentals.
4.5

(37 reviews)

17 hours to complete
3 weeks at 5 hours a week
Flexible schedule
Learn at your own pace
Gain insight into a topic and learn the fundamentals.
4.5

(37 reviews)

17 hours to complete
3 weeks at 5 hours a week
Flexible schedule
Learn at your own pace

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Assessments

5 assignments

Taught in French

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There are 6 modules in this course

Nous entamons cette semaine le Cours 4 dont le sujet est les vecteurs aléatoires, c'est-à-dire, une collection finie de variables aléatoires réelles, comme par exemple des couples de variables aléatoires. Ce cours s'étend sur deux semaines.

What's included

8 videos3 readings1 assignment2 plugins

Il s'agit de la suite et de la fin du Cours 4. Nous allons en particulier généraliser le résultat qui nous permet de faire des calculs de lois.

What's included

8 videos4 readings1 assignment2 plugins

Nous entamons le Cours 5 dont l'objet principal est le théorème communément appelé la « loi des grands nombres ». Nous introduirons aussi plusieurs notions de convergence d'une suite de variables aléatoires.

What's included

11 videos6 readings1 assignment1 plugin

Nous terminons le Cours 5 en donnant des exemples d'applications de la loi des grands nombres. Nous introduisons également la méthode de Monte Carlo.

What's included

6 videos1 reading1 assignment2 plugins

Nous commençons le Cours 6, le dernier de ce MOOC, à cheval sur deux semaines. Cette semaine, on introduit un nouvel outil très puissant : les fonction caractéristiques.

What's included

2 videos

Cette dernière semaine est consacrée au second pilier de la théorie des probabilités : le théorème de la limite centrale. Ce résultat nécessite une nouvelle notion de convergence : la convergence en loi. Nous verrons notamment une application aux intervalles de confiance qui sont utilisés pour les sondages.

What's included

11 videos5 readings1 assignment2 plugins

Instructors

Sylvie Méléard
École Polytechnique
2 Courses18,898 learners
Jean-René Chazottes
École Polytechnique
2 Courses18,898 learners
Carl Graham
École Polytechnique
2 Courses18,898 learners

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