Signal Processing FundamentalsExplores signal processing fundamentals, including discrete time signals, spectral factorization, and stochastic processes.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Air Pollution: Correlation AnalysisCovers correlation and cross-correlations in air pollution data analysis, including time series, autocorrelations, Fourier analysis, and power spectrum.
Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.
Independence and CovarianceExplores independence and covariance between random variables, discussing their implications and calculation methods.
Multivariate Methods IExplores multivariate methods like PCA, SVD, PLS, and ICA for dimensionality reduction in functional brain imaging.
Elements of StatisticsIntroduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.