Normal distribution

3 Dezembro 2015, 15:30 • Agnieszka Bergel

Ex. from chapter 5: Normal distribution.

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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

 

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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.

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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

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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

  

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