Monte-Carlo IntegrationCovers Monte-Carlo integration, simulation, and transforming draws from different distributions.
Maximum Likelihood EstimationCovers Maximum Likelihood Estimation in statistical inference, discussing MLE properties, examples, and uniqueness in exponential families.
Stochastic Models for CommunicationsExplores stochastic models for communications, covering mean, variance, characteristic functions, inequalities, various discrete and continuous random variables, and properties of different distributions.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Maximum Likelihood EstimationCovers Maximum Likelihood Estimation, focusing on ML Estimation-Distribution, Shrinkage Estimation, and Loss functions.
Continuous Time Markov ChainsIntroduces continuous time Markov chains on a finite state space with exponential waiting times and jump probabilities.