Probabilities and statistics (I)

lbir1212  2017-2018  Louvain-la-Neuve

Probabilities and statistics (I)
4 credits
30.0 h + 15.0 h
Q1
Teacher(s)
Bogaert Patrick;
Language
French
Prerequisites
LBIR1110  Math I
LMAT1111E  Math II

The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
Main themes
Introduction to the calculus of probability - Discrete and continuous random variables: probability and probability density functions, expectations, variance and other statistical properties - Principal statistical distributions - Couples of random variables and random vectors: joint, marginal and conditional distributions, independence, covariance and correlation, expectations and conditional variance - Introduction to statistics - Notions concerning estimators and estimator properties - Inference about the mean and variance: estimators, sample distributions - Notions of one-mean-confidence intervals.
Aims

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

1

a.     Contribution of this activity to the learning outcomes referential :

1.1, 2.1

b.     Specific formulation of the learning outcomes for this activity

A the end of this activity, the student is able to :

·       Name, describe and explain the theoretical concepts underlying the probability theory;

·       Use the mathematical expressions in a formal way and by using rigorous notations in order to deduce new expressions or requested theoretical results;

·       Translate mathematically textual statements using a rigorous mathematical and probabilistic framework by relying on appropriate concepts and theoretical tools;

·       Solve an applied problem by using a deductive approach that relies on a correct use of well identified properties and expressions;

·       Validate the internal consistency of the mathematical expressions and results based on theoretical properties and logical constraints that are induced by the probabilistic framework;
 

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Content
Introduction to the calculus of probability - Discrete and continuous random variables: probability and probability density functions, expectations, variance and other statistical properties - Principal statistical distributions - Couples of random variables and random vectors: joint, marginal and conditional distributions, independence, covariance and correlation, expectations and conditional variance - Introduction to statistics - Notions concerning estimators and estimator properties - Inference about the mean and variance: estimators, sample distributions ' Notion of confidence intervals
Teaching methods
Regular courses and supervised practical exercises
Other information
The course relies on a book which is considered as mandatory and must be bought :
P. Bogaert (2005). Probabilités pour scientifiques et ingénieurs. Editions De Boeck
Faculty or entity
AGRO


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

Title of the programme
Sigle
Credits
Prerequisites
Aims
Bachelor in Bioengineering
BIR1BA
4
LBIR1110 AND LMAT1111E
Master [120] in Environmental Science and Management
ENVI2M
4
Bachelor in Computer Science
SINF1BA
4
LSINF1111 AND LSINF1112
Master [120] in data Science: Statistic
DATS2M
4
Minor in Statistics and data sciences
LSTAT100I
4