Inequalities for the median of the gamma distribution |
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| Authors: | José A Adell Horst Alzer |
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| Institution: | a Departamento de Métodos Estadísticos, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
b Morsbacher Str. 10, 51545 Waldbröl, Germany |
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| Abstract: | We provide several new inequalities involving λn, the median of the gamma distribution of order n+1 with parameter 1. Among others, we present sharp upper and lower bounds for the arithmetic mean of λ1,λ2,…,λn. For all integers n?1 we have |
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| Keywords: | 26D15 60E05 |
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