{ "id": "math/0609442", "version": "v1", "published": "2006-09-15T11:47:13.000Z", "updated": "2006-09-15T11:47:13.000Z", "title": "Convexity of the median in the gamma distribution", "authors": [ "Christian Berg", "Henrik L. Pedersen" ], "categories": [ "math.PR", "math.CA" ], "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", "revisions": [ { "version": "v1", "updated": "2006-09-15T11:47:13.000Z" } ], "analyses": { "subjects": [ "60E05", "41A60", "33B15" ], "keywords": [ "gamma distribution", "strictly convex function", "positive half-line" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......9442B" } } }