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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@article{CRMATH_2007__344_5_327_0, author = {Zhang, Zhengmin}, 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}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2007.01.008/} }
TY - JOUR AU - Zhang, Zhengmin TI - Inequalities for characteristic functions involving Fisher information JO - Comptes Rendus. Mathématique PY - 2007 SP - 327 EP - 330 VL - 344 IS - 5 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2007.01.008/ DO - 10.1016/j.crma.2007.01.008 LA - en ID - CRMATH_2007__344_5_327_0 ER -
%0 Journal Article %A Zhang, Zhengmin %T Inequalities for characteristic functions involving Fisher information %J Comptes Rendus. Mathématique %D 2007 %P 327-330 %V 344 %N 5 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2007.01.008/ %R 10.1016/j.crma.2007.01.008 %G en %F CRMATH_2007__344_5_327_0
Zhang, Zhengmin. Inequalities for characteristic functions involving Fisher information. Comptes Rendus. Mathématique, Tome 344 (2007) no. 5, pp. 327-330. doi : 10.1016/j.crma.2007.01.008. http://archive.numdam.org/articles/10.1016/j.crma.2007.01.008/
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