Elements of probability and mathematical statistics

lstat2014  2022-2023  Louvain-la-Neuve

Elements of probability and mathematical statistics
5.00 credits
22.5 h + 22.5 h
Q1
Teacher(s)
Pircalabelu Eugen;
Language
French
Main themes
The course will focus on presenting key probabilistic / inferential concepts, to help students level up for more advanced courses.
Learning outcomes

At the end of this learning unit, the student is able to :

use the appropriate probabilistic model and determine quantities of interest based on it.
 
understand the properties of different probability distributions and use the "iid" (independent and identically distributed) framework to construct statistical estimators for unknown quantities of the population.
 
assess the quality of such estimators and supplement them with inference tools such as confidence intervals.
 
perform hypothesis testing and understand statistical errors associated with statistical decisions.
 
Bibliography
Wackerly, D.D., Mendenhall, W. et Scheaffer, R.L. (2007). Mathematical Statistics with Applications, 7th Ed., International student edition, Brooks-Cole.
Rice J.A. (2007). Mathematical Statistics and Data Analysis 3rd Ed., Duxbury Press.
Droesbeke, J.-J. (1997). Eléments de Statistique. Editions de l’Université de Bruxelles & Editions Ellipses.
Faculty or entity
LSBA


Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Master [120] in Data Science : Statistic

Minor in Statistics, Actuarial Sciences and Data Sciences

Certificat d'université : Statistique et science des données (15/30 crédits)