Descriptive statistics. Probability: The concept of probability and its laws, Conditional probability, Independent events, Theorem of total probability and Bayes formula. Combinatorics. Random variables: Specific discrete and continuous distributions of one variable, Mean and variance of random variables, Multivariate distributions: Marginal functions, Independence of random variables. Central limit theorem. Estimation: Maximum Likelihood method, Moment estimators. Confidence intervals: Mean and variance of a sample, Difference of means of two samples and ratio of variances of two samples. Approximate confidence interval. Hypothesis tests: Likelihood ratio tests, Wald tests, score tests. Correlation, Simple linear regression.
ECTS : 5
Language : el