Fourier-based distances and Berry-Esseen like inequalities for smooth densities

Monatshefte fur Mathematik

Volumn 135, Issue 2, 2002, Pages 115-136

  Goudon, Thierry ^a   Junca, Stéphane ^b   Toscani, Giuseppe ^c  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b IUFM Nice   (France)

^c UNIVERSITY OF PAVIA   (Italy)

Author keywords

Berry Esseen estimates; Central Limit Theorem; Fourier based distances

Indexed keywords

EID: 0036510434     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006050200010     Document Type: Article

References (16)

1. Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas
2. Exponential convergence to equilibrium for homogeneous Fokker-Planck type equations
3. Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation
4. An information-theoretic proof of the central limit theorem with the Lindeberg condition
5. A strengthened central limit theorem for smooth densities
6. An inequality for certain functional of multidimensional probability distributions
7. Mass transportation problems
8. Uniform estimates of the rate of convergence in the multi-dimensional central limit theorem
9. Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas
10. Chance and stability
11. Probability metrics