Universitat Politècnica de Catalunya · BarcelonaTech

Probability and Statistics (2500014) – Course 2025/26 PDF

Contents

Scale, support and data transformation. Location and dispersion measures Graphic representations. Sample distribution. Multivariate data. Covariance and linear correlation. Minimum square line fit. Trends

Dedication

4h Large group + 2h Laboratory classes + 8h 23m Self Study
Total: 14h 23m

Definition and properties of probability Total probability theorem and Bayes theorem. Probability calculation

Dedication

4h Large group + 2h Medium group + 8h 23m Self Study
Total: 14h 23m

Random variable General discrete models. Commonly used discrete models. Continuous models. Frequently used continuous models. Normal distribution. LogNormal and logitNormal distributions Simple transformations of random variables. Model applications

Dedication

8h Large group + 3h Medium group + 15h 24m Self Study
Total: 26h 24m

Elementary simulation methods. Simulation and representation of samples.de mostres. Basic MonteCarlo method.

Dedication

2h Laboratory classes + 2h 48m Self Study
Total: 4h 48m

Multivariate probabilistic models Multivariate normal distribution and Central limit theorem

Dedication

3h Large group + 4h 11m Self Study
Total: 7h 11m

Dedication

10h Laboratory classes + 14h Self Study
Total: 24h

Statistics. Estimators. Method of moments Likelihood of a sample. Maximum likelihood method. Properties of estimators Applications of point parameter estimation. Central limit theorem. Distributions of usual statistics.

Dedication

3h Large group + 2h Medium group + 2h Laboratory classes + 9h 48m Self Study
Total: 16h 48m

Hypothesis tests Contrasts in normal context Contrasts in Normal context Simulated contrasts. Other contrast statistics

Dedication

3h Large group + 3h Medium group + 2h Laboratory classes + 11h 12m Self Study
Total: 19h 12m

Linear regression least squares model. Hypotheses and assessment of the model More Linear Model. ANOVA

Dedication

7h Laboratory classes + 9h 48m Self Study
Total: 16h 48m