Events

Marianthi Markatou

University at Buffalo
Colloquia

When

Date: Wednesday, March 16, 2022
Time: 4:00 pm - 5:00 pm
Location: Virtual through Zoom
Dr. Marianthi Markatou is SUNY Distinguished Professor and Associate Chair of Research and Healthcare Informatics, Department of Biostatistics, School of Public Health and Health Professions, and Assistant Director, Institute of Healthcare Informatics. She is an Elected Fellow of the American Statistical Association, an Elected Fellow of the Institute of Mathematical Statistics, and an Elected Member of the International Statistical Institute. She is an Associate Editor for Theory and Methods Section, Journal of the American Statistical Association (2008-2018, 2019-present), and Co-editor in Chief, Elect of the International Statistical Review. She was also awarded the Senior Researcher of the Year award (2019) from the School of Public Health & Health Professions, University at Buffalo.

Directional data arise in many scientific fields, where observations are recorded as directions or angles relative to a fixed orientation system. Furthermore, many non-directional data sets can usefully be re- expressed in the form of directions and analyzed as such data on the high-dimensional sphere. In this talk we propose a clustering algorithm for these types of data that is based on a mixture of Poisson kernel-based densities (PKBD) on the sphere. We present connections of this new class of distributions with distributions used in directional statistics. We then discuss identifiability of the different PKBD models and investigate the convergence properties of the algorithm. Furthermore, we present a method to simulate data from these distributions and exemplify our results via simulation and the use of real-world data.