English

Convexity of the median in the gamma distribution

Probability 2007-05-23 v1 Classical Analysis and ODEs

Abstract

We show that the median m(x)m(x) in the gamma distribution with parameter xx is a strictly convex function on the positive half-line

Keywords

Cite

@article{arxiv.math/0609442,
  title  = {Convexity of the median in the gamma distribution},
  author = {Christian Berg and Henrik L. Pedersen},
  journal= {arXiv preprint arXiv:math/0609442},
  year   = {2007}
}