On Bayesian consistency for flows observed through a passive scalar

DOI10.1214/19-AAP1542zbMath1461.62215arXiv1809.06228OpenAlexW3047208710WikidataQ122827191 ScholiaQ122827191MaRDI QIDQ2657923

Justin Krometis, Jeff Borggaard, Nathan E. Glatt-Holtz

Publication date: 18 March 2021

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06228

zbMATH Keywords

passive scalarsBayesian statistical inversionBayesian consistency

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Applications of statistics to physics (62P35) Forced convection (76R05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (2)

A Bayesian Approach to Estimating Background Flows from a Passive Scalar ⋮ Mixing rates for Hamiltonian Monte Carlo algorithms in finite and infinite dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bernstein-von Mises theorems for statistical inverse problems. I: Schrödinger equation
• On the consistency of Bayes estimates
• Asymptotics in statistics. Some basic concepts.
• Statistical and computational inverse problems.
• Consistent nonparametric Bayesian inference for discretely observed scalar diffusions
• Nonparametric Bayesian drift estimation for multidimensional stochastic differential equations
• Nonparametric Bayesian posterior contraction rates for scalar diffusions with high-frequency data
• Nonparametric Bayesian posterior contraction rates for discretely observed scalar diffusions
• Consistency of Bayesian nonparametric inference for discretely observed jump diffusions
• The Kato-Ponce Inequality
• Inverse problems: A Bayesian perspective
• Nonparametric estimation of diffusions: a differential equations approach
• Classical and Multilinear Harmonic Analysis
• A Bayesian Approach to Estimating Background Flows from a Passive Scalar
• On the Asymptotic Behavior of Bayes' Estimates in the Discrete Case
• On Bayes procedures
• Fundamentals of Nonparametric Bayesian Inference
• Book Reviews

This page was built for publication: On Bayesian consistency for flows observed through a passive scalar