Rate of convergence of uniform transport processes to a Brownian sheet

We give the rate of convergence to a Brownian sheet from a family of processes constructed starting from a set of independent standard Poisson processes. These processes have realizations that converge almost surely to the Brownian sheet, uniformly in the unit square.

Detalles Bibliográficos
Autor: Rovira Escofet, Carles
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/195376
Acceso en línea:https://hdl.handle.net/2445/195376
Access Level:acceso abierto
Palabra clave:Processos gaussians
Convergència (Matemàtica)
Probabilitats
Gaussian processes
Convergence
Probabilities
Descripción
Sumario:We give the rate of convergence to a Brownian sheet from a family of processes constructed starting from a set of independent standard Poisson processes. These processes have realizations that converge almost surely to the Brownian sheet, uniformly in the unit square.