Noticimat 22

Título: Statistical analysis on infinite-dimensional space: the continuous thinking

Ponente: Israel Martínez Hernández (King Abdullah University of Science and Technology)

Hora: 1:00 pm

(Trasmisión por el sistema bluejeans: https://bluejeans.com/837558134).

Resumen: For many phenomena, data are collected on a large scale, resulting in high-dimensional and high-frequency data. Thus, the development of new statistical models is being pushed forward. A natural approach is to assume that data are defined in infinite-dimensional space. For example, data can be curves, images, and audio signals. In this talk, I will describe my contributions to this approach. I will talk about statistical methods considering time-dependent functional data that are either stationary or nonstationary. Additionally, I will describe some methodologies when data are even more complicated objects, such as surfaces or manifolds.