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.
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2020 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/195376 |
| Online Access: | https://hdl.handle.net/2445/195376 |
| Access Level: | Open access |
| Keyword: | Processos gaussians Convergència (Matemàtica) Probabilitats Gaussian processes Convergence Probabilities |
| Summary: | 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. |
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