UE Statistics

Degrees incorporating this pedagocial element :

Description

Statistics is the science whose object is to collect, process, and analyse data from the observation of random phenomena, that is to say in which chance happens.

Statistics are an essential tool for the understanding and management of complex phenomena (meteorological, physical, biological, etc.), since it allows one, through data analysis, to describe these phenomena, to make forecasts, and to make decisions about them. 

We will discuss in this course the univariate statistic, starting with the descriptive analysis tools, and then by estimation and statistical tests for parametric models. Finally, we will discuss the notion of nonparametric estimation. The different notions will be illustrated using software R.

Prerequisites

Fundamental probability tools, theory of measurement.

Bibliography

  • Philippe Barbe et Michel Ledoux, Probabilité L3-M1, EDP Sciences 2007
  • Bernard Bercu, Djalil Chafaï, Modélisation stochastique et simulation, Cours et applications, Dunod 2007, également disponible sur HAL
  • Gérard Biau, Gérard Droniou, Marc Herzlich, Mathématiques et statistique pour les sciences de la nature, Modéliser, comprendre et appliquer, EDP Sciences 2010, également disponible sur HAL