v2.11.0 (5518)

Cours scientifiques - MAA204 : Introduction to Statistics

Descriptif

MAA204 is an introductory course in statistics, with complements in probability. Topics include displaying and describing data in one or two dimensions, writing a statistical model, providing probabilistic properties of this model and establishing limit theorem. This will finally allow the introduction of the first basics in inferential statistics (estimators, confidence intervals and hypothesis testing).

The final grade is computed with the formula

A litteral grade is then given based on the following rule

[0,7[ = E ; [7,9[ = D ; [9,10[ = C ; [10,11[ = B- ; [11,12[ = B ; [12,14[ = B+ ; [14,16[ = A- ; [16,18[ = A ; [18,20] = A+.

To validate the minimal grade is C.

MAA203

Numérique sur 20

Pour les étudiants du diplôme Echanges PEI

Le rattrapage est autorisé (Note de rattrapage conservée écrêtée à une note seuil de 9)
L'UE est acquise si Note finale >= 9
• Crédits ECTS acquis : 3 ECTS

La note obtenue rentre dans le calcul de votre GPA.

Pour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique

Le rattrapage est autorisé (Note de rattrapage conservée écrêtée à une note seuil de 9)
L'UE est acquise si Note finale >= 9
• Crédits ECTS acquis : 3 ECTS

La note obtenue rentre dans le calcul de votre GPA.

Programme détaillé

I Introduction to descriptive Statistics
a/ Some notions of one-dimensional descriptive Statistics
b/ Very few words about two-dimensional descriptive Statistics

II Some reminders about random variables
a/ Properties of random variables
b/ Independence between random variables
c/ Usual probability distributions
d/ Limit theorems

III Introduction to parametric estimation
a/ Estimation of the expectation
b/ Maximum likelihood estimation
c/ Confidence interval

IV Introduction to statistical tests
a/ Parametric tests
b/ Nonparametric tests