no. 5
Probability Theory
Inequalities for characteristic functions involving Fisher information
Presented by: Paul Malliavin
Zhang, Zhengmin1
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

Zhang, Zhengmin 1

1 School of Mathematics and Statistics, Carleton University, Ottawa, ON K1S 5B6, Canada 
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Zhang, Zhengmin. 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

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