Brenda Li Mathematics Senior Thesis Presentation

Brenda will discuss “Extreme Value Theory: Tears, Earthquakes and Puppet Shows.” Extreme Value Theory (EVT) is a branch of probability and statistics concerned with the probability of rare events.  From biology and engineering, to information technology and finance, EVT is used in a variety of real-world applications.  She will examine the Fisher-Tippet-Gnedenko Theorem, exploring examples of the theorem in use and overview the Block Maxima method, a statistical approach used to apply EVT to sets of observed data.  She will use EVT and earthquake data collected between 1967 and 2016 to predict the probabilities of high-magnitude earthquakes in Northern California