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Cours scientifiques - MAA204 : Introduction to Statistics

Domaine > Mathématiques appliquées.

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 

max(exam grade, 0.5*(exam grade + small classes grade))

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.

 

Format des notes

Numérique sur 20

Littérale/grade américain

Pour les étudiants du diplôme Programmes d'échange internationaux

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 11)
    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

    Table of contents:

    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

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