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IPLUSO 620

Probabilities and Statistics

Computer Engineering and Applications
  • ApresentaçãoPresentation
    Provides a wide range of basic knowledge, skills and tools essential for data analysis.
  • ProgramaProgramme
    Descriptive statistics: Basic concepts. Measures of location, measures of dispersion. Graphic presentation.  Random experiment. Events. Sample space. Algebra of events. Probability concepts. Axiomatic of Kolmogorov. Conditional probability. Independence. Bayes theorem Discrete and Continuous random variables. Probability and distribuition functions. Mean value, variance and standard deviation Discrete distributions: Uniform, Binomial, Negative Binomial and Poisson distributions Continuous distributions: Uniform, Normal, Exponential, Chi-square and t-Student distributions Statistical inference. Sample distributions. Central limit theorem Estimation by points or by intervals. Confidence interval for mean (know and unknow variance, large and small sample). Confidence interval for variance and standard deviation. Confidence interval for proportion Hypothesis Testing The Linear Regression Model      
  • ObjectivosObjectives
    Be able to calculate and interpret the most important desciptive statistical measures and identify their properties; to calculate probabilities using different concepts; to calculate conditional probability and apply the principles of multiplication, total probability and Bayes' theorem. Be able to use the concept of random variable and to operate with probability functions and distributions. Know the most important discrete and continuos distributions and some of their properties. Calculate confidence intervals and apply hypothesis tests and interpret the obtained results. Know the Linear Regression Model and evaluate the adjustment of the model to data.
  • BibliografiaBibliography
    Murteira, B, Ribeiro, C.S., Silva,J.A. e Pimenta,C. (2015) Introdução à Estatística. Escolar editora. Pestana,d. e Velosa,H. (2006) Introdução à Probabilidade e Estatística. Fundação Calouste Gulbenkian. Reis, E., Melo, P. , Andrade,R. e Calapez,T. (2007) Estatística Aplicada, vol.1 e 2. Edições Sílabo. Ross,S. (2009) Introduction to Probability and Statistics for Engineers and Scientists, 4th edition. Elsevier Academic Press.  
  • MetodologiaMethodology
    Application of acquired knowledge to the study of real problemas and use of statistical software.
  • LínguaLanguage
    Português
  • TipoType
    Semestral
  • ECTS
    6
  • NaturezaNature
    Mandatory
  • EstágioInternship
    Não