Comptes Rendus
no. 5
Probability Theory
Inequalities for characteristic functions involving Fisher information

Presented by: Paul Malliavin

Zhengmin Zhang1
1 School of Mathematics and Statistics, Carleton University, Ottawa, ON K1S 5B6, Canada
Comptes Rendus. Mathématique, Volume 344 (2007) no. 5, pp. 327-330.

We establish several inequalities for characteristic functions (Fourier transform of probability densities) in terms of the Fisher information. As applications, we illustrate their significance in estimating the survival probability of a quantum state (Schrödinger wave function).

Nous établissons plusieurs inégalités concernant les fonctions caractéristiques (les transformées de Fourier des densités de probabilité) à l'aide de l'information de Fisher. En application, nous montrons la signification des ces inégalités dans l'estimation de la probabilité de survie d'un état quantique (fonction d'onde de Schrödinger).

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2007.01.008

Zhengmin Zhang 1

1 School of Mathematics and Statistics, Carleton University, Ottawa, ON K1S 5B6, Canada 
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Zhengmin Zhang. Inequalities for characteristic functions involving Fisher information. Comptes Rendus. Mathématique, Volume 344 (2007) no. 5, pp. 327-330. doi : 10.1016/j.crma.2007.01.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.01.008/

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