Research Seminars: Probability and Statistics

Spring 2024

Time & Location: All talks are on Wednesdays in Gibson 126 at 4:00 PM unless otherwise noted.
Organizer: Xiang jiMichelle Lacey and Yuwei Bao



February  2

Title: Stochastics in medicine: Delaying menopause and missing drug doses
Sean Lawley| University of Utah

Abstract:  Stochastic modeling and analysis can help answer pressing medical questions. In this talk, I will attempt to justify this claim by describing recent work on two problems in medicine. The first problem concerns ovarian tissue cryopreservation, which is a proven tool to preserve ovarian follicles prior to gonadotoxic treatments. Can this procedure be applied to healthy women to delay or eliminate menopause? How can it be optimized? The second problem concerns medication nonadherence. What should you do if you miss a dose of medication? How can physicians design dosing regimens that are robust to missed/late doses? I will describe (a) how stochastics theory offers insights into these questions and (b) the mathematical questions that emerge from this investigation. The first problem is based on joint work with Joshua Johnson (University of Colorado School of Medicine), John Emerson (Yale University), and Kutluk Oktay (Yale School of Medicine).

Time: 12:00 pm
Location: Stanley Thomas 316


February  28

Title: Heavy-tailed p-value combinations from the perspective of extreme value theory
Yeonwoo Rho - Michigan Technological University

Abstract:  Handling multiplicity without losing much power has been a long-standing problem in statistics. Recently, p-value combination methods based on heavy-tailed distributions have received much spotlight. In this talk, p-value combinations from the perspective of extreme value theory will be introduced. Distributions with regularly varying tails, a subclass of heavy tail distributions, are found to be useful in constructing such combined p-values. Three combined p-values are introduced, of which left tail probabilities are shown to be approximately uniform when the global null is true. The number of tests can be both finite and diverging. Connections to existing literature will also be discussed.

Time: 4:00 pm
Location: Gibson Hall 126