Explore a comprehensive lecture on statistical models and their connection to theory in this seventh class of the QEco Program. Delve into topics such as the typical set, Markov chains, proposal distributions, and Hamiltonian samplers. Learn from expert lecturer Diogo Melo as he guides you through concepts like finding the typical set, hill Markov chains, and characterizing tails. Gain valuable insights into quantitative ecology and statistical modeling techniques in this hour-long session, part of the Serrapilheira/ICTP-SAIFR Training Program in Quantitative Ecology.