• Statistical Methods for Business
  • Programa
    • The course consists of 11 units, organised into two blocks: the first block, corresponding to Units 1 through 5, focuses on the study of probability. The second block, which includes Units from 6 through 11, takes account of the main tools of inferential statistics, with particular attention to confidence intervals and statistical hypothesis testing.

      Unit 1 .- Uncertainty and probability.

      1.1 .- Probability. Concepts and quantification.

      1.2 . Axiomatic definition of probability.

      1.3 .- Conditional probability and independence.

      1.4 .- Total Probability and Bayes theorem.

      Unit 2 .- Random variables.

      2.1 .- Random variable. Discrete and continuous variables.

      2.2 .- Probability distribution of a random variable.

      2.3 .- Characteristics of random variables. Expected value and dispersion.

      2.4 .- Chebyshev Inequality.

      Unit 3 .- Discrete probability models.

      3.1 .- Bernoulli processes and related distributions.

      3.1.1- Binomial model.

      3.1.2- Geometric model.

      3.2 .- Hypergeometric Model.

      3.3 .- Poisson model.

      Unit 4 .- Continuous probability models.

      4.1 .- Uniform model.

      4.2 .- Normal model.

      4.3 .- Other models.

      Unit 5 .- Joint analysis and limit theorems.

      5.1 .- K-dimensional distributions.

      5.2 .- Independent random variables. Properties.

      5.3 .- Aggregates of random variables.

      5.4 .- Central Limit Theorem and its applications.

      Unit 6 .- Introduction to sampling. Estimators.

      6.1 .- Sample surveys. Sample selection techniques.

      6.2 .- Simple random sampling. Distribution of the sample.

      6.3 .- Estimators and their properties.

      6.4 .- Methods of obtaining estimators.

      Unit 7 .- Inferential tools. Distributions associated with sampling.

      7.1 .- Distributions associated with the sampling process.

      7.2 .- Inferential processes and relevant distributions.

      Unit 8 .- Interval estimation.

      8.1 .- Introduction to interval estimation.

      8.2 .- Confidence intervals. Construction and characteristics.

      8.3 .- Confidence intervals for the mean.

      8.4 .- Confidence intervals for the proportion.

      8.6 .- Confidence intervals for the variance.

      Unit 9 .- Introduction to hypothesis testing.

      9.1 .- Basics of statistical hypothesis testing.

      9.2 .- Types of errors in hypothesis testing.

      9.3 .- Methodology and implementation of statistical tests.

      Unit 10 .- Parametric tests.

      10.1 .- Tests for the mean.

      10.2 .- Tests for the proportion.

      10.3 .- Tests for the variance.

      Unit 11 .- Non-parametric tests.

      11.1- Runs test.

      11.2 .- Normality testing.

      11.3 .- Independence testing.