The Chen-Rubin Conjecture in a Continuous Setting

@article{Berg2004TheCC,
title={The Chen-Rubin Conjecture in a Continuous Setting},
author={Henrik L. Pedersen Christian Berg},
journal={Methods and applications of analysis},
year={2004},
volume={13},
pages={63-88}
}
We study the median m(x) in the gamma distribution with parameter x and show that 0 0. This proves a generalization of a conjecture of Chen and Rubin from 1986: The sequence m(n) n decreases for n � 1. We also describe the asymptotic behaviour of m and m 0 at zero and at infinity.

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