Abstract
Upper bounds are considered for the Fisher information of random vectors in terms of total variation and norms in Sobolev spaces. We also survey and refine a number of known results in this direction.
Funding Statement
Research was partially supported by BSF grant 2016050 and NSF grant DMS-2154001
Acknowledgments
We would like to thank the referee for a careful reading of the manuscript and valuable comments.
Citation
Sergey G. Bobkov. "Upper Bounds for Fisher information." Electron. J. Probab. 27 1 - 44, 2022. https://doi.org/10.1214/22-EJP834
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