Convexity of the median in the gamma distribution

Christian Berg; Henrik L. Pedersen

doi:10.1007/s11512-006-0037-2

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Home > Journals > Ark. Mat. > Volume 46 > Issue 1 > Article

April 2008 Convexity of the median in the gamma distribution

Christian Berg, Henrik L. Pedersen

Author Affiliations +

Christian Berg,¹ Henrik L. Pedersen²
¹Department of Mathematics, University of Copenhagen
²Department of Natural Sciences, University of Copenhagen

Ark. Mat. 46(1): 1-6 (April 2008). DOI: 10.1007/s11512-006-0037-2

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Abstract

We show that the median m(x) in the gamma distribution with parameter x is a strictly convex function on the positive half-line.

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Christian Berg. Henrik L. Pedersen. "Convexity of the median in the gamma distribution." Ark. Mat. 46 (1) 1 - 6, April 2008. https://doi.org/10.1007/s11512-006-0037-2