English

Relations between the first four moments

Probability 2017-01-17 v1

Abstract

Let m_j denote the jth moment of a random variable X. One of the results is the inequality m_3 \leq c m_4^{3/4} with the best possible factor c over all random variables X with a non-positive mean.

Keywords

Cite

@article{arxiv.1111.6220,
  title  = {Relations between the first four moments},
  author = {Iosif Pinelis},
  journal= {arXiv preprint arXiv:1111.6220},
  year   = {2017}
}

Comments

2 pages

R2 v1 2026-06-21T19:42:02.379Z