Sumários
Normal distribution and Central Limit theorem
3 Dezembro 2015, 15:30 • Graça Leão Fernandes
Exercises of:
Chapter5 - nºs 7, 8, 9, 26, 27
Normal distribution. Central Limit Theorem and its corollaries.
2 Dezembro 2015, 15:30 • Graça Leão Fernandes
Normal distribution:
- Examples of aplication of the aditivyty theorems;
- Theorems about the relationship between the normal and chi-square distributions.
Central Limit Theorem:
- its importance;
- conditions when the theorem holds;
- the correction of continuity;
- the De Moivre-Laplace Theorem;
- aplication to the case where the random variable follows a Poisson distribution.
Exercises
Normal distribution
30 Novembro 2015, 13:30 • Graça Leão Fernandes
Normal distribution:
- Why is it so widely used;
- Probabillity density, distribution and moment generating functions;
- The standard Normal distribution - procedure of standardization;
- Computing probabilities with the normal distribution using the tables and the calculator;
- Aditivity theorems.
Uniform continuous, Poisson,Exponential, Gama and Chi-Square distributions
26 Novembro 2015, 15:30 • Graça Leão Fernandes
Exercises of chapter 5 nºs 1, 2, 3, 14, 15, 17
4th mini test
Exponential, Gamma and Chi-Square distributions
25 Novembro 2015, 15:30 • Graça Leão Fernandes
Exponential distribution : review of last class
Gamma distribution :
- definition;
- some particular cases;
- probability density and moment generating function.
Chi-Square distribution;
- as a particular case of the Gamma;
- how to transform a Gamma into a Chi-Square distribution;
- finding the values of probabilities using the calculator and the tables
Examples