The Chen-Rubin conjecture in a continuous setting

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dc.creatorPedersen, Henrik L.
dc.creatorBerg, Christian
dc.date2004-11-12
dc.date.accessioned2026-07-07T05:14:15Z
dc.date.available2026-07-07T05:14:15Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0411282
dc.identifierhttp://arxiv.org/abs/math/0411282
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73208
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subject60E05(primary); 41A60, 33B15(secondary)
dc.titleThe Chen-Rubin conjecture in a continuous setting
dc.typetext

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