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The Chen-Rubin conjecture in a continuous setting | | Henrik L. Pedersen Christian Berg
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12 Nov 2004 | | Subject: | Classical Analysis and ODEs; Complex Variables MSC-class: 60E05(primary); 41A60, 33B15(secondary) | math.CA math.CV | | Affiliation: | KVL Royal Veterinary and Agricultural University) Christian Berg (University of Copenhagen | | Abstract: | 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. | | Source: | arXiv, math.CA/0411282 | | Services: | Forum | Review | PDF | Favorites | |
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