Explores signal processing fundamentals, including discrete time signals, spectral factorization, and stochastic processes.
Explores the Red bus/Blue bus paradox, nested logit models, and multivariate extreme value models in transportation.
Covers correlation and cross-correlations in air pollution data analysis, including time series, autocorrelations, Fourier analysis, and power spectrum.
Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Explores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
