The series hosts a seminar every other week on current research topics. The seminar often features an invited guest speaker and occasionally local faculty members, students or others affiliated with the department. The usual time of the seminar is 11-12 pm on Fridays. Professors Joseph Gastwirth (E-mail: firstname.lastname@example.org) and Tatiyana V Apanasovich (E-mail: email@example.com) are the Seminar Series Coordinators.
Department Seminars in Fall 2012
Title: Bayesian Analysis in Partially Identified Models
Speaker: Yuan Liao, University of Maryland
Abstract: In applications of econometrics and survival analysis, sometimes the available information from the data is not strong enough to identify the parameter of interest. Instead, the parameter is only ``partially identified" on a non-singleton set, so that its consistent estimator does not exist. When this indeed happens, its posterior distribution is no longer going to concentrate around the true parameter even asymptotically, but would concentrate around the ``partially identified set"; the latter becomes the target of interest. The ``support function" from the literature on convex analysis is useful in this case to characterize such a set, and to construct Bayesian credible intervals. In this talk, I will introduce many applied examples to motivate partially identified models, show how to construct posteriors, and derive some asymptotic results on the posterior distributions for the partially identified parameter, the set, and the support function. Finally, the methods are illustrated in detail in a missing data application. This is a joint work with Anna Simoni.
Time: TBA, Fall 2013