Some inequalities for characteristic density functions with bounded variation
type: Item
instance of: scholarly article
title: Some inequalities for characteristic density functions with bounded variation
zbMATH Open document ID: 1002.60015
author: V. G. Ushakov
author: Nikolai G. Ushakov
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 2002-10-21T00:00:00Z
review text: Let \(p(x)\) be a probability distribution with the bounded variation \(V(p)\). Then its characteristic function \(f(t)\) satisfies the following inequalities \[ |f(t)|\leq\sin(t/V(p))/(t/V(p)),\;|t|\leq\pi V(p),\quad\text{and}\quad |f(t)|\leq V(p)/t,\;t\neq 0. \]
Mathematics Subject Classification ID: 60E10
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 1818146
zbMATH Keywords: probability distribution
zbMATH Keywords: vertex
zbMATH Keywords: variation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1818146