Sumários
Sample Space Partition. Total probability theorem. Bayes theorem
30 Setembro 2015, 15:30 • Graça Leão Fernandes
Sample Space Partition - definition.
Total probability theorem:
- proof;
- interpretation;
- examples.
Bayes theorem:
- proof;
- interpretation - apriori and aposteriori probabilities;
- examples.
Conditional probability. Independent events.
28 Setembro 2015, 13:30 • Graça Leão Fernandes
Conditional probability:
- definition;
- computation;
- multiplication rule;
- examples.
. Independent events:
- definition with two events;
- generalisation to three or more events - mutually indpendent events;
- Theorem 2.11;
- examples
Interpretations of the concept of probability. Methods of Enumeration.
23 Setembro 2015, 15:30 • Graça Leão Fernandes
Interpretations of the concept of probability:
- Classical concept of probability;
- Relative frequency concept of probability;
- Subjective concept of probability.
Methods of Enumeration:
- Multiplication principle;
-Permutations with and without replacement;
- Combinations;
- Distiguishable permutations;
- Hipergeometric and binomial models.
Introduction to probability theory
21 Setembro 2015, 13:30 • Graça Leão Fernandes
Brief presentation of the Program, bibliography, assessment method.
Sample space, events
Algebra of events
Definition of the measure of probability: Kolmogorov postulates and properties