Corpus ID: 211572672

# Information Geometry of smooth densities on the Gaussian space: Poincar\'e inequalities.

```@article{Pistone2020InformationGO,
title={Information Geometry of smooth densities on the Gaussian space: Poincar\'e inequalities.},
author={G. Pistone},
journal={arXiv: Statistics Theory},
year={2020}
}```
• G. Pistone
• Published 2020
• Mathematics
• arXiv: Statistics Theory
We derive bounds for the Orlicz norm of the deviation of a random variable defined on \$\mathbb{R}^n\$ from its Gaussian mean value. The random variables are assumed to be smooth and the bound itself depends on the Orlicz norm of the gradient. Applications to non-parametric Information Geometry are discussed.
1 Citations

#### References

SHOWING 1-10 OF 36 REFERENCES