A refined Jensen's inequality in Hilbert spaces and empirical approximations
type: Item
instance of: scholarly article
title: A refined Jensen's inequality in Hilbert spaces and empirical approximations
zbMATH Open document ID: 1159.60311
published in: Journal of Multivariate Analysis
publication date: 2009-03-25T00:00:00Z
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 62G08
zbMATH DE Number: 5532892
zbMATH Keywords: Jensen's inequality
zbMATH Keywords: supporting hyperplane
zbMATH Keywords: empirical measure
zbMATH Keywords: convex regression function
zbMATH Keywords: linearly ordered classes of sets
zbMATH Keywords: Pettis integral
author: Samantha Leorato
MaRDI profile type: Publication
full work available at URL: j.jmva.2008.10.003
OpenAlex ID: W1977199923
cites work: Q5822308
cites work: Jensen's inequality for a convex vector-valued function on an infinite-dimensional space
cites work: Multifunctions of faces for conditional expectations of selectors and Jensen's inequality
cites work: Jensen's inequality for conditional expectations in Banach spaces
cites work: A generalized Jensen's inequality
cites work: A Convexity Inequality
cites work: Q4821460
cites work: A variant of Jensen-Steffensen's inequality and quasi-arithmetic means
cites work: Seven Views on Approximate Convexity and the Geometry of K -Spaces
cites work: Jensen's inequality for medians
cites work: Some refinements of Jensen's inequality
cites work: Generalized convex inequalities
cites work: A uinivariate extension of Jensens inequality
cites work: Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function
cites work: Testing strict monotonicity in nonparametric regression
cites work: Estimating a Convex Function in Nonparametric Regression
cites work: A simple nonparametric estimator of a strictly monotone regression function
cites work: Testing for monotone increasing hazard rate
cites work: Unified approach to testing functional hypotheses in semiparametric contexts
cites work: Nonparametric estimation of time varying parameters under shape restrictions
cites work: Estimation of a function under shape restrictions. Applications to reliability
cites work: Q4391441
cites work: Q3395931
cites work: Q3217346
cites work: Q5591992
cites work: I-divergence geometry of probability distributions and minimization problems
cites work: Robust and efficient estimation by minimising a density power divergence
cites work: A comparison of related density-based minimum divergence estimators
cites work: Divergence-based estimation and testing of statistical models of classification
cites work: Minimum divergence estimators based on grouped data
cites work: Q3803964
cites work: Convergence of best phi -entropy estimates
DOI: 10.1016/J.JMVA.2008.10.003
Recommended article: Q4205660
Recommended article: Q5479800
Recommended article: Q5748342
Recommended article: Q3710733
Recommended article: On the refinement of Jensen's inequality
Recommended article: Q5699826
Recommended article: Q4985956
Recommended article: Q4282955
Recommended article: Some refinements of Jensen's inequality
description: scientific article; zbMATH DE number 5532892