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Probability and Statistics

Code 14649
Year 2
Semester S2
ECTS Credits 6
Workload TP(60H)
Scientific area Mathematics
Entry requirements Calculus.
Mode of delivery Theoretical and practical lessons. Face-to-face teaching
Work placements Not aplicable.
Learning outcomes •To provide the student the basic knowledge in probability theory, random variables and the most relevant theoretical distributions.
•To familiarise the student with the most important concepts and methods in statistical inference, allowing him to apply these concepts to real situations.
After approval at this UC, the Student should be able to:
O1. Formalise correctly problems involving the result of randomised trials.
O2. Identify the probabilistic models, their properties and relation with other models.
O3. Demonstrate knowledge in the field of the statistical inference, with emphasis on parametric inference.
O4. Demonstrate strong predisposition for individual and group learning.
Syllabus 1 - Elements of Probability.
2 - Random variables. Probability distributions.
3 - Theoretical Distributions: Discrete distributions. Continuous distributions.
4 - Point and Interval Estimation.
4.1 - Point estimation. Some properties of the estimators.
4.2 - Definition of confidence interval. Confidence intervals for means, variances and proportions.
5 - Hypotheses testing. Tests for means, proportions and variances.

Main Bibliography Main:
-- Guimarães, R. C. e Sarsfield Cabral, J. A. (2010). Estatística - 2ª edição. Editora McGraw-Hill.
-- Murteira, B., Ribeiro, C., Silva, J. e Pimenta, C. (2015). Introdução à Estatística - 3ª edição. Escolar Editora, Lisboa.
-- Gonçalves, E., Nogueira, E. e Rosa, A. C. (2016), Probabilidades e Estatística para Ciências e Tecnologia. Edições Almedina, Coimbra
-- Paulino, C. e Branco, J. (2006), Exercícios de Probabilidades e Estatística, Escolar Editora.

-- Ross, S. (2020). Probability and Statistics for Engineers and Scientists. Academic Press.
Teaching Methodologies and Assessment Criteria The assessment of student learning is done throughout the semester with two written tests. If the students do not reach the expected skills, the assessment is done at the end of the semester with a written exam.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2024-02-27

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