### DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:**
**Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu
**Bryan Ek**, Rutgers University, bryan [dot] t [dot] ek {at} math [dot] rutgers [dot] edu

Title: Experimental "Solutions" to Select Stopping Problems

Speaker: **Richard Voepel**, Rutgers University

Date: Thursday, April 19, 2018 5:00pm

Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

In the realm of statistics and economics, there are several important problems that can be described as stopping problems; a kind of decision problem where an actor must observe some sequence of random variables, and based on observations of those variables implement a stopping rule (often gaining some reward based on observations). The gold standard for "solving" these stopping problems is providing a stopping rule for maximizing expected gains or minimizing expected losses, but such a stopping rule need not be the "best" rule depending on context. In this talk we will introduce stopping problems by way of a classical example of coin flipping, and explore the role of experimental mathematics in the construction of a family of stopping rules for the problem of Shepp's Urn.

See: http://sites.math.rutgers.edu/~bte14/expmath/