Inequalities for characteristic functions involving Fisher information

DOI10.1016/j.crma.2007.01.008zbMath1143.62001OpenAlexW1972385663MaRDI QIDQ875319

Zhengmin Zhang

Publication date: 13 April 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.01.008

zbMATH Keywords

Fourier transformcharacteristic functionFisher information

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characteristic functions; other transforms (60E10) Statistical aspects of information-theoretic topics (62B10) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (4)

Entropic isoperimetric inequalities ⋮ Inequalities for characteristic functions of multidimensional distributions ⋮ Fisher information and the central limit theorem ⋮ The convergence of the Rényi entropy of the normalized sums of IID random variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimating the first zero of a characteristic function.
• A strengthened central limit theorem for smooth densities
• An extremal problem for Fourier transforms of probabilities
• On decaying rate of quantum states
• The Efficiency of Some Nonparametric Competitors of the $t$-Test
• An inequality for characteristic functions and its applications to uncertainty relations and the quantum Zeno effect

This page was built for publication: Inequalities for characteristic functions involving Fisher information