The Chen-Rubin conjecture in a continuous setting

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We study the median in the Gamma distribution as a function of the parameter. Using methods from complex analysis we show that the derivative of the median is less than 1 and we thereby solve a conjecture of Chen and Rubin from 1986. We also study the asymptotic behaviour of the median at infinity and at zero.

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Classical Analysis and ODEs, Complex Variables, 60E05(primary); 41A60, 33B15(secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/73208

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411282
 http://arxiv.org/abs/math/0411282

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arXiv