Guia docente 2012_13 Facultade de CC. Económicas e Empresariais

Contents

Topic	Sub-topic
SUBJECT 1. Introduction	Concept and object of the Statistics. Stages of a statistical investigation. Descriptive statistics, Theory of the Probability and Statistical Inference. Basic concepts and notations. Quantitative and qualitative variables.
SUBJECT 2. One variable frequency distributions	Frequencies of a statistical variable and his properties. Frequency distributions. Graphical representations. Measures of position: mean, mode, median and quantiles. Measures of dispersion: range, variance, standard deviation and coefficient of variation. Moments. Measures of skewness and kurtosis. Boxplots.
SUBJECT 3. Two variables frequency distributions	Joint frequency distribution. Marginal and conditional distributions. Statistical independence. Covariance and correlation coefficient. Association between qualitative variables: Pearson chi-square and Cramer's V coefficients.
SUBJECT 4. Probability	Random experiment. Sample space and events. Operations with events and his properties. Definitions of probability: classical (rule of Laplace) and frequentist. Probability axioms. Consequences of the axioms. Conditional probability. The multiplication rule. Total probability theorem. Bayes theorem. Independence of events.
SUBJECT 5. One-dimensional random variables	Definition. Distribution function. Discrete random variables: probability function and properties. Continuous random variables: density function and properties. Characteristics of a random variable: expected value, mode, median, moments, variance and standard deviation, Tchebychev's inequality.
SUBJECT 6. Special discrete distributions	Uniform. Bernoulli. Binomial. Geometric. Negative binomial . Hypergeometric. Poisson.
SUBJECT 7. Special continuous distributions	Uniform. Normal. Exponential. Gamma.
SUBJECT 8. Introduction to the two-dimensional random variables	Definition. Distribution function. Discrete and continuous variables. Marginal and conditional distributions. Independence of random variables. Covariance and correlation coefficient.