Sumários

Lecture 17

22 Abril 2024, 12:00 Davide Masoero

Poisson Distribution.
Moment generating functions, mean and variance
Addition law
Law of rare events (with exercise)
Poisson Process (with exercise)
Waiting time of a Poisson process



Practice 9

19 Abril 2024, 10:30 Ricardo Pinto Moura

Chapter 5: 8, 9, 10, 11

Chapter 6: 1


Lecture 16

17 Abril 2024, 13:30 Davide Masoero

Review: Moment generating function, Bernoulli and binomial distribution
Properties of Binomial distributions
Exercise on binomial distribution
Geometric distribution. Definition, properties and relation with a sequence of iid Bernoulli random variables
Poisson distribution. Exercise


Lecture 15

15 Abril 2024, 12:00 Davide Masoero

k-dimensional random variable
Expected value of the sum, variance of the sum and moment generating function of the sum of k random variable
Independent and identically distributed (i.i.d) random variables
Chapter 6
Discrete uniform distribution
Bernoulli distribution
Binomial distribution
Exercise and use of the numerical table


Practice 8

12 Abril 2024, 10:30 Ricardo Pinto Moura

Chapter 4: 13

Chapter 5: 1, 2, 5, 7