◍wovepaper
SearchResearchersInstitutions
Sign in
math.STJul 1, 2007
50
citations (OpenAlex)
authors
  • Xinjia Chen
arXiv abstractPDF
paper

A New Generalization of Chebyshev Inequality for Random Vectors

arXiv:0707.0805

Abstract

In this article, we derive a new generalization of Chebyshev inequality for random vectors. We demonstrate that the new generalization is much less conservative than the classical generalization.

7 pages, 1 figure; added some references

Cited by in corpus (9)

  • On the Theory and Practice of Privacy-Preserving Bayesian Data Analysis
  • Higher-Order Moment-Based Anomaly Detection
  • Faster PAC Learning and Smaller Coresets via Smoothed Analysis
  • A simple proof for the multivariate Chebyshev inequality
  • Stochastic Model Predictive Control for tracking of distributed linear systems with additive uncertainty
  • Transductive-Inductive Cluster Approximation Via Multivariate Chebyshev Inequality
  • Introduction to Coresets: Approximated Mean
  • On the Variance of the Fisher Information for Deep Learning
  • Bounded Multivariate Surfaces On Monovariate Internal Functions
◍wovepaper

Papers, researchers and institutions, woven together.

Explore
  • Search
  • Researchers
  • Institutions
Account
  • Library
  • Chat
Data
  • arXiv.org
  • Semantic Scholar
  • OpenAlex
  • Latest RSS
AboutContactPrivacyDevelopersllms.txtopenapi.json
Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.