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- Accelerating Breakthroughs in the Life Sciences12:15 pm
- Gaussian approximation of Hilbert-valued Poisson functionals (Thanh Dang - Boston University)4:00 pm
- Public Health, Medicine, and Poverty4:30 pm
- Dean Mary Elizabeth Moore's Last Lecture: “Dignity: Spiritual Center in Social Chaos”6:00 pm
- BPSO Science on Tap!7:00 pm
Gaussian approximation of Hilbert-valued Poisson functionals (Thanh Dang - Boston University)
Employing the framework introduced by Bourguin and Campese, we obtain quantitative central limit theorems for Poisson functionals taking value in a separable Hilbert space. In particular, we derive conditions on the first four moments that ensure that the law of a Hilbert-valued Poisson functional converges to a Wiener measure, thus extending the very same four moment theorem contributed by many authors in the finite-dimensional setting. As an application, we study a central limit theorem in the context of stochastic geometry and offer a quantitative estimate on the convergence rate.
When | 4:00 pm to 5:00 pm on Thursday, December 10, 2020 |
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Location | Online (Zoom) - Email Mickey Salins (msalins@bu.edu) for more information |