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).
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Zhengmin Zhang 1
@article{CRMATH_2007__344_5_327_0, author = {Zhengmin Zhang}, title = {Inequalities for characteristic functions involving {Fisher} information}, journal = {Comptes Rendus. Math\'ematique}, pages = {327--330}, publisher = {Elsevier}, volume = {344}, number = {5}, year = {2007}, doi = {10.1016/j.crma.2007.01.008}, language = {en}, }
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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