El Instituto de Estadística de la PUCV presentará la siguiente conferencia:
Nombre: Alessandra Fariñas
Fecha: 17 de octubre a las 12:00 horas en la sala de reunión IES (Av. Errázuriz 2734, Valparaíso).
Título de la Conferencia: “Characterization Theorems for Covariance Functions on the n–Dimensional Sphere Across Time”.
Resumen: This work provides representation theorems for classes of nonstationary covariance functions on spheres across time. Isotropy on spheres comes out naturally in virtue of the addition theorem, and we show how to escape from this assumption, in order to obtain anisotropic kernels. The same criterion is used to escape from stationarity in the temporal component. An algorithm for the simulation of Gaussian processes with nonstationary and anisotropic covariances is provided.
Keywords: Gegenbauer Polynomial, Positive Definite, Space-time Random Field, Spectral Rep-resentation, Spherical Harmonic.