A Univariate Inequality for Medians
نویسنده
چکیده
There has been a great deal of recent emphasis on majorization and related correlation inequalities, for example Marshall and Olkin [11' and Karlin and Rinott [2]. These inequalities have a variety of important applications. However they are based solely on mathematical expectations, for example the result below due to Karamata [3]. After stating this result we give our analog for medians. Karamata's result (THEOREM): Let F and G be distributionfunctions, on (c, d). Let p. = F-G. Then f 4dp a Ofor all convexfunctions, :(c,d)-*R, if and only if
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