 Aims
Initiation to the study of random phenomena and to the principles and methodology of the statistic analysis of experimental data.
Main themes
Introduction to the calculus of probability - Discreete 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.
Content and teaching methods
Introduction to the calculus of probability - Discreete 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.
The practical exercises deal with examples and applications allowing to apply the theory. Part of these exercises will deal with data processing issues in the computer room and will allow to illustrate the different statistical concepts. Use will be made of the macro-language introduced in the course BIR1202 'Informatique appliquée'. There will also be a link with the course BIR1201 'Exercices intégrés en mathématiques et informatique'.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Precursory courses : BIR 1202 'Informatique appliquée'
Supplemental courses : BIR 1201 'Exercices intégrés en mathématiques et informatique', BIR 13XX 'Probabilités et statistiques II'
Support : Syllabus, text book and personal notes
Framing : teaching team + assistant
Programmes in which this activity is taught
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ENVI3DS
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Diplôme d'études spécialisées en science et gestion de l'environnement
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Other credits in programs
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BIR12BA
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Deuxième année de bachelier en sciences de l'ingénieur, orientation bioingénieur
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(4 credits)
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Mandatory
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SINF12BA
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Deuxième année d'études de bachelier en sciences informatiques
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(4 credits)
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Mandatory
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