# Statistics

## In brief

• Teaching method : En présence
• Code : N6EE01C

## Objectives

The aim of this course is to enable the future engineer to build a mathematical model based on the observation of a random phenomenon and a collection of experimental or sampling data. This construction goes from the choice of model to its precise adjustment and its validation. This model must then allow a better understanding or analysis of the phenomenon and lead, if necessary, to decision-making or forecasts.

## Description

1st course: Normal distributions; mean and variance.

2nd course: Basis of estimation; unbiased estimation of minimum variance.

3rd course: Fisher Information; Cramer-Rao inequality; maximum likelihood.

4th course: Basis of hypothesis testing; Lemma of Neyman and Pearson.

5th course: Likelihood ratio test; Linear regression. 6th course: Multilinear regression.

7th course: Complements; revisions. Tutorials

TD 1: Mean-variance independence, Gaussian case.

TD 2: Estimate (1).

TD 3: Estimation (2).

TD 4: Hypothesis testing.

## Targeted skills

The random models are introduced in application contexts that are related to quality control, reliability, sample surveys or the monitoring of an industrial production or economic factor. The engineer who will have to adress such problems can validly adapt these models to his specific problem and solve it.

## Bibliography

Garel, B. (2002) : Modélisation probabiliste et statistique. Cépadues Editions.

Garel, B. (2018) : Modèles mathématiques du hasard. Ellipses.

Lejeune, M. (2010) : Statistique, la théorie et ses applications. Springer.

Saporta, G. (2011) : Probabilités, analyse des données et Statistique. Editions Technip.

### Session 1 ou session unique - Contrôle des connaissances

ModalitéNatureCoefficientRemarques
CT (contrôle terminal) Oral/Ecrit70%Statistiques - Examen
CC (contrôle continu) Rapport30%Statistiques - BE

### Session 2 - Contrôle des connaissances

ModalitéNatureCoefficientRemarques
CT (contrôle terminal) Oral/Ecrit70%Statistiques - Examen
CC (contrôle continu) Rapport30%Statistiques - BE

CHABERT MARIE

## Places

• Toulouse

### Contact

The National Institute of Electrical engineering, Electronics, Computer science,Fluid mechanics & Telecommunications and Networks

2, rue Charles Camichel - BP 7122
31071 Toulouse Cedex 7, France

+33 (0)5 34 32 20 00