Central limit theorem over non-linear functionals of empirical measures with applications to the mean-field fluctuation of interacting diffusions
DOI10.1214/21-EJP720zbMath1491.60113arXiv2002.01458OpenAlexW4205269143MaRDI QIDQ2076614
Publication date: 22 February 2022
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.01458
Applications of stochastic analysis (to PDEs, etc.) (60H30) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Stochastic particle methods (65C35) PDEs with measure (35R06)
Cites Work
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- Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated
- Asymptotic distribution theory of statistical functionals: The compact derivative approach for robust estimators
- Tightness problem and stochastic evolution equation arising from fluctuation phenomena for interacting diffusions
- A note on differentials and the CLT and LIL for statistical functions, with application to M-estimates
- Smoothing properties of McKean-Vlasov SDEs
- On differentiability in the Wasserstein space and well-posedness for Hamilton-Jacobi equations
- Weak convergence and empirical processes. With applications to statistics
- Higher order regularity of nonlinear Fokker-Planck PDEs with respect to the measure component
- Antithetic multilevel sampling method for nonlinear functionals of measure
- Mean-field stochastic differential equations and associated PDEs
- From the master equation to mean field game limit theory: a central limit theorem
- Runge-Kutta schemes for backward stochastic differential equations
- Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
- Approximation Theorems of Mathematical Statistics
- Central limit theorem for a system of Markovian particles with mean field interactions
- The Master Equation and the Convergence Problem in Mean Field Games
- Probabilistic Theory of Mean Field Games with Applications I
- A stochastic particle method for the McKean-Vlasov and the Burgers equation
- A Class of Statistics with Asymptotically Normal Distribution
- On the Asymptotic Distribution of Differentiable Statistical Functions
- Robust Statistics
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