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Convexity of the median in the gamma distribution

Christian Berg Department of Mathematics, University of Copenhagen Henrik L. Pedersen Department of Natural Sciences, University of Copenhagen

TBD mathscidoc:1701.333116

Arkiv for Matematik, 46, (1), 1-6, 2006.10
We show that the median$m$($x$) in the gamma distribution with parameter$x$is a strictly convex function on the positive half-line.
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@inproceedings{christian2006convexity,
  title={Convexity of the median in the gamma distribution},
  author={Christian Berg, and Henrik L. Pedersen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203621077195925},
  booktitle={Arkiv for Matematik},
  volume={46},
  number={1},
  pages={1-6},
  year={2006},
}
Christian Berg, and Henrik L. Pedersen. Convexity of the median in the gamma distribution. 2006. Vol. 46. In Arkiv for Matematik. pp.1-6. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203621077195925.
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