Comptes Rendus
no. 5
Probability Theory
Inequalities for characteristic functions involving Fisher information
[Certaines inégalités pour les fonctions caractéristiques faisant intervenir l'information de Fisher]

Présenté par : 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.

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).

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).

Reçu le :
Accepté le :
Publié le :
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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