| Code |
16670
|
| Year |
1
|
| Semester |
S2
|
| ECTS Credits |
6
|
| Workload |
TP(60H)
|
| Scientific area |
Mathematics
|
|
Entry requirements |
This course has no prerequisites. Mathematical maturity at the level of Integral Calculus is recommended but not mandatory.
|
|
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 important theoretical distributions.
•To familiarize the student with the most important concepts and methods in statistical inference, allowing him to apply these to real situations.
After approval at this UC, the Student should be able to:
O1. Formalize correctly problems involving the result of randomized trials.
O2. Identify the probabilistic models, their properties and relation to other models.
O3. Formalize correctly problems involving the result of randomized trials.
O4. Demonstrate knowledge in the field of the statistical inference, with emphasis on parametric inference.
O5. Demonstrate strong predisposition for individual and group learning.
O6. Demonstrate the ability to interpret and analyze the results obtained using a statistical software resulting from the application of acquired knowledge.
|
|
Syllabus |
1 - Theory of probability: conditional probability and independence. Theorem of total probability and Bayes Theorem.
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: Fundamental concepts. Tests for means, proportions and variances.
|
|
Main Bibliography |
•Pedrosa, A. e Gama, S. (2004). Introdução computacional à Probabilidade e Estatística. Fundação Calouste Gulbenkian. Lisboa
•Murteira, B. (1990). Probabilidades e Estatística. Vol I e II(2ª ed.) McGraw-Hill.
•Pestana, D. D. e Velosa, S. F. (2006). Introdução à Probabilidade e à Estatística. Volume I, 2ª Edição, Fundação Calouste Gulbenkian.
•Rohatgi, V. K. (1976). An Introduction to Probability Theory and Mathematical Statistics. J. Wiley & Sons, New York.
•Ross, S. M. (1987). Introduction to Probability Theory for Engineers and Scientists. J. Wiley & Sons, New York.
|
|
Teaching Methodologies and Assessment Criteria |
1. The assessment of the knowledge and skills acquired by students in the teaching-learning process is carried out through two assessment tests (Test1+Test2), each graded on a scale of 0 to 10.
2. The Teaching-Learning Classification (TLC) is calculated according to the following formula: TLC = Test 1 + Test 2
3. Students who obtain a TLC equal to or greater than 9.5 are exempt from the final exam.
4. The mention of “Frequência” is awarded to students who cumulatively meet the following requirements:
a) Attendance in at least 50% of the classes taught;
b) Obtaining a TLC equal to or greater than 5 points and less than 9.5 points.
5. The attendance criterion set out in point a) of the previous paragraph does not apply to students covered by special statutes,, in accordance with the national legislation in force and the applicable institutional regulations of UBI.
|
|
Language |
Portuguese. Tutorial support is available in English.
|