Probability and Statistics C
Code
10410
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
Gracinda Rita Diogo Guerreiro
Weekly hours
4
Total hours
52
Teaching language
Português
Objectives
The main goal of this subject is to teach the basics about the statistics and probability. The students will be prepared to easily handle the requirements of a professional activity, concerning probabilities and statistics.
Regarding Probabilities it’s intended that students develop capacities to formulate problems concerning the results of random experiences.
Students should also be able to manipulate statistical techniques, in order to analyze parameters of a population such as Confidence Intervals and Hypothesis Testing. Students should also be able to use linear regression as a first approach to modulation of real data throughout statistics.
Prerequisites
.Knowledge of Calculus, emphasizing integration techiques and functions of several variables.
Subject matter
1. Basic notions of probability.
2. Random variables and their probability distributions.
3. Random vectors.
4. Some important distributions.
5. Central limit theorem.
6. Point estimation.
7. Interval estimation.
8. Hypothesis testing.
9. Simple linear regression.
Bibliography
Pedrosa, António (2004). Introdução Computacional à Probabilidade e Estatística. Porto Editora.
Guimarães, R. C. e Cabral, J. S. (1997). Estatística, McGraw-Hill.
Paulino e Branco (2005). Exercícios de Probabilidade e Estatística. Escolar Editora.
Pestana e Velosa (2006). Introdução à Probabilidade e à Estatística. Fundação Calouste Gulbenkian.
Montgomery, D. C. e Runger, G. C. (2002). Applied Statistics and Probability for Engineers, John Wiley and Sons.
Ross, Sheldon (1987). Introduction to Probability and Statistics for Engineers and Scientists. Wiley.
Murteira, B., Ribeiro, C. S., Silva, J. A. e Pimenta, C., (2002). Introdução à Estatística, McGraw-Hill.
Mood, A. M., Graybill e Boes (1974). Introduction to the Theory of Statistics., McGraw-Hill.
Rohatgi (1976). An Introduction to Probability Theory and Mathematical Statistics. Wiley.
Tiago de Oliveira (1990). Prob. e Est.: Conceitos, Métodos e Aplicações., vol. I, II. McGraw-Hill.
Teaching method
Lectures and problem-solving sessions, with wide participation of students.