A aula não foi dada por imposição da Direcção

8 Março 2016, 11:00 • Graça Leão Fernandes

A aula não foi dada por imposição da Direcção

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Bayes theorem (cont.), Random variable, Cumulative distribution function.

3 Março 2016, 10:30 • Graça Leão Fernandes

Bayes theorem (cont.)

Random variable:

  - definition and interpretation;

  - image of an event and inverse image of an iterval in R;

   - examples.

Cumulative distribution function (cdf):

   - definition;

   - properties;

   - Computation of probabilities of intervals in R using the cdf. 

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Events mutually independent. Partition of the sample space. Total probability theorem. Bayes theorem.

1 Março 2016, 11:00 • Graça Leão Fernandes

Events mutually independent: definition and examples.

Partition of the sample space: definition and examples.

Total probability theorem.

Bayes theorem: proof and  interpretation.

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Interpretations of the concept of probability. Methods of enumeration.Conditional probability.

25 Fevereiro 2016, 10:30 • Graça Leão Fernandes

Interpretations of the concept of probability:

       - classical;

       - relative frequency;

       - subjective.

Methods of enumeration:

      - Multiplication principle;

      - Permutations;

      - Combinations;

     - non distiguishable permutations;

      - Hypergeometric and binomial models.

Conditional probability:

      - Definition and interpretation;

      - Multiplication rule.

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Introduction to Probability Theory

23 Fevereiro 2016, 11:00 • Graça Leão Fernandes

Introduction to Probability Theory:

- random experiment;

-sample space and events;

- algebra of events;

- Measure of probability - Kolmogorav postulates and properties.

 

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