Explains key concepts in probability, including conditional probability, independence, and random variables, with practical examples to illustrate their applications.
Covers Markov Chain Monte Carlo for sampling high-dimensional distributions, discussing challenges, advantages, and applications like the Knapsack Problem and cryptography.
Covers methods to define the design storm, empirical distribution of rainfall maxima, Gumbel distribution, and intensity-duration-frequency relationships.
Explores stochastic models for communications, covering mean, variance, characteristic functions, inequalities, various discrete and continuous random variables, and properties of different distributions.
Explores fractals, dimensions, and applications, including mountain formation simulation and landscape authoring through erosion and vegetation interplay.