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A New Generalization of Chebyshev Inequality for Random Vectors

Statistics Theory 2013-11-05 v2 Machine Learning Probability Applications Statistics Theory

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.

Keywords

Cite

@article{arxiv.0707.0805,
  title  = {A New Generalization of Chebyshev Inequality for Random Vectors},
  author = {Xinjia Chen},
  journal= {arXiv preprint arXiv:0707.0805},
  year   = {2013}
}

Comments

7 pages, 1 figure; added some references

R2 v1 2026-06-21T08:55:29.889Z