# 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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