Covers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.
Covers methods to define the design storm, empirical distribution of rainfall maxima, Gumbel distribution, and intensity-duration-frequency relationships.
Explains key concepts in probability, including conditional probability, independence, and random variables, with practical examples to illustrate their applications.
Explores the application of probability and statistics in hydrologic design, covering topics such as return period, risk assessment, and empirical data analysis.
Introduces Linearity of Expectation and the First Moment Method, explores probability theory problems like Buffon's Needle, and discusses transitive tournaments and Ham paths.