lecture

26 Março 2025, 13:30 • Adriana Cornea-madeira

We discussed the hypergeometric distribution, geometric distribution, negative binomial distribution, Poisson distribution, exponential distribution, Poisson process, Gamma distribution.

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lecture

24 Março 2025, 13:30 • Adriana Cornea-madeira

We discussed about the discrete uniform distribution,  Bernoulli and Binomial distribution and went through some examples.

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Expectations and Variances for two Discrete Variables

21 Março 2025, 10:30 • Elisabete Barata Fernandes

Expectations and Variances for two Discrete Variables

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lecture

19 Março 2025, 13:30 • Adriana Cornea-madeira

We focused on the conditional expectation: how to compute its probability when this expectation is seen as a random variable; the law of the iterated expectations and illustrate how to use it to compute the unconditional expectation when we do not know the marginal probability/density. We also provided some results about the unconditional variance and the covariance, related to the law of iterated expectations.

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lecture

17 Março 2025, 13:30 • Adriana Cornea-madeira

We discussed about the correlation coefficient, its properties, and interpretation. The we justified some properties of the variance (covariance) of sums of (weighted) random variables. Then we moved to the conditional expectation and variance, and how to calculate these (including some relevant examples).

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