The Chen-Rubin Conjecture in a Continuous Setting

  title={The Chen-Rubin Conjecture in a Continuous Setting},
  author={H. Berg},
  journal={Methods and applications of analysis},
  • H. Berg
  • Published 2004
  • Mathematics
  • Methods and applications of analysis
  • 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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